365638 has 32 divisors (see below), whose sum is σ = 705600. Its totient is φ = 141120.

The previous prime is 365627. The next prime is 365639. The reversal of 365638 is 836563.

365638 = 57² + 58² + ... + 108².

It is a super-2 number, since 2×365638² = 267382294088, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365639) by changing a digit.

365638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8898 + ... + 8938.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

365638 is a Friedman number, since it can be written as 686*533, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 533 ⋅ 686 (with its own digits).

2³⁶⁵⁶³⁸ is an apocalyptic number.

365638 is a deficient number, since it is larger than the sum of its proper divisors (339962).

365638 is a wasteful number, since it uses less digits than its factorization.

365638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 63 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 365638 is about 604.6800807038. The cubic root of 365638 is about 71.5073101235.

The spelling of 365638 in words is "three hundred sixty-five thousand, six hundred thirty-eight".