365952 has 32 divisors (see below), whose sum is σ = 973080. Its totient is φ = 121856.

The previous prime is 365941. The next prime is 365969. The reversal of 365952 is 259563.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 13.

It is a zygodrome in base 11.

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 365952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93 + ... + 860.

2³⁶⁵⁹⁵² is an apocalyptic number.

365952 is a gapful number since it is divisible by the number (32) 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 365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486540).

365952 is an abundant number, since it is smaller than the sum of its proper divisors (607128).

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

365952 is an equidigital number, since it uses as much as digits as its factorization.

365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 365952 is about 604.9396664131. The cubic root of 365952 is about 71.5277737798.

The spelling of 365952 in words is "three hundred sixty-five thousand, nine hundred fifty-two".