Is 38401 a prime number?

38 401 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 38 401 is about 195.962.

Thus, the square root of 38 401 is not an integer, and therefore 38 401 is not a square number.

The square of a number (here 38 401) is the result of the product of this number (38 401) by itself (i.e., 38 401 × 38 401); the square of 38 401 is sometimes called "raising 38 401 to the power 2", or "38 401 squared".

The square of 38 401 is 1 474 636 801 because 38 401 × 38 401 = 38 401² = 1 474 636 801.

As a consequence, 38 401 is the square root of 1 474 636 801.

38 401 is a number with 5 digits.

The multiples of 38 401 are all integers evenly divisible by 38 401, that is all numbers such that the remainder of the division by 38 401 is zero. There are infinitely many multiples of 38 401. The smallest multiples of 38 401 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 38 401 too, since 0 × 38 401 = 0
• 38 401: indeed, 38 401 is a multiple of itself, since 38 401 is evenly divisible by 38 401 (we have 38 401 / 38 401 = 1, so the remainder of this division is indeed zero)
• 76 802: indeed, 76 802 = 38 401 × 2
• 115 203: indeed, 115 203 = 38 401 × 3
• 153 604: indeed, 153 604 = 38 401 × 4
• 192 005: indeed, 192 005 = 38 401 × 5
• etc.

• Preceding numbers: …38 399, 38 400
• Following numbers: 38 402, 38 403…

Nearest numbers from 38 401

• Preceding prime number: 38 393
• Following prime number: 38 431