Is 962 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 962, the answer is: No, 962 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 962) is as follows: 1, 2, 13, 26, 37, 74, 481, 962.

For 962 to be a prime number, it would have been required that 962 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

962 is a multiple of 1
962 is a multiple of 2
962 is a multiple of 13
962 is a multiple of 26
962 is a multiple of 37
962 is a multiple of 74
962 is a multiple of 481

For 962 to be a prime number, it would have been required that 962 has only two divisors, i.e., itself and 1.

Is 962 a deficient number?

Yes, 962 is a deficient number, that is to say 962 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 962 without 962 itself (that is 1 + 2 + 13 + 26 + 37 + 74 + 481 = 634).

Parity of 962

962 is an even number, because it is evenly divisible by 2: 962 / 2 = 481.

Find out more:

What is an even number?

Is 962 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 962 is about 31.016.

Thus, the square root of 962 is not an integer, and therefore 962 is not a square number.

What is the square number of 962?

The square of a number (here 962) is the result of the product of this number (962) by itself (i.e., 962 × 962); the square of 962 is sometimes called "raising 962 to the power 2", or "962 squared".

The square of 962 is 925 444 because 962 × 962 = 962² = 925 444.

As a consequence, 962 is the square root of 925 444.

Number of digits of 962

962 is a number with 3 digits.

What are the multiples of 962?

The multiples of 962 are all integers evenly divisible by 962, that is all numbers such that the remainder of the division by 962 is zero. There are infinitely many multiples of 962. The smallest multiples of 962 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 962 too, since 0 × 962 = 0
962: indeed, 962 is a multiple of itself, since 962 is evenly divisible by 962 (we have 962 / 962 = 1, so the remainder of this division is indeed zero)
1 924: indeed, 1 924 = 962 × 2
2 886: indeed, 2 886 = 962 × 3
3 848: indeed, 3 848 = 962 × 4
4 810: indeed, 4 810 = 962 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 962). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 31.016). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 962

Preceding numbers: …960, 961
Following numbers: 963, 964…

Nearest numbers from 962

Preceding prime number: 953
Following prime number: 967