365352 has 32 divisors (see below), whose sum is σ = 984480. Its totient is φ = 112320.

The previous prime is 365333. The next prime is 365357. The reversal of 365352 is 253563.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹¹ + 6⁵ + 3¹¹ + 5³ + 5⁵ + 2⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365352.

It is not an unprimeable number, because it can be changed into a prime (365357) by changing a digit.

365352 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 7 ways as a sum of consecutive naturals, for example, 274 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (30765).

2³⁶⁵³⁵² is an apocalyptic number.

It is an amenable number.

365352 is an abundant number, since it is smaller than the sum of its proper divisors (619128).

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

365352 is a wasteful number, since it uses less digits than its factorization.

365352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 365352 is about 604.4435457510. The cubic root of 365352 is about 71.4886610542.

It can be divided in two parts, 365 and 352, that added together give a palindrome (717).

The spelling of 365352 in words is "three hundred sixty-five thousand, three hundred fifty-two".