365256 has 64 divisors (see below), whose sum is σ = 1080000. Its totient is φ = 114048.

The previous prime is 365251. The next prime is 365257. The reversal of 365256 is 652563.

365256 is a `hidden beast` number, since 3 + 652 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365256.

It is not an unprimeable number, because it can be changed into a prime (365251) by changing a digit.

365256 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, 4060 + ... + 4148.

It is an arithmetic number, because the mean of its divisors is an integer number (16875).

2³⁶⁵²⁵⁶ is an apocalyptic number.

365256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540000).

365256 is an abundant number, since it is smaller than the sum of its proper divisors (714744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

365256 is a wasteful number, since it uses less digits than its factorization.

365256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 365256 is about 604.3641286509. The cubic root of 365256 is about 71.4823990451.

The spelling of 365256 in words is "three hundred sixty-five thousand, two hundred fifty-six".