638313 has 12 divisors (see below), whose sum is σ = 922320. Its totient is φ = 392496.

The previous prime is 638303. The next prime is 638317. The reversal of 638313 is 313836.

It is not a de Polignac number, because 638313 - 2¹⁶ = 572777 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (638317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

2⁶³⁸³¹³ is an apocalyptic number.

It is an amenable number.

638313 is a deficient number, since it is larger than the sum of its proper divisors (284007).

638313 is a wasteful number, since it uses less digits than its factorization.

638313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1275 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 638313 is about 798.9449292661. The cubic root of 638313 is about 86.1016015706.

The spelling of 638313 in words is "six hundred thirty-eight thousand, three hundred thirteen".