363912 has 32 divisors (see below), whose sum is σ = 928800. Its totient is φ = 118784.

The previous prime is 363911. The next prime is 363917. The reversal of 363912 is 219363.

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

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363912.

It is not an unprimeable number, because it can be changed into a prime (363911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1288 + ... + 1544.

It is an arithmetic number, because the mean of its divisors is an integer number (29025).

2³⁶³⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464400).

363912 is an abundant number, since it is smaller than the sum of its proper divisors (564888).

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

363912 is a wasteful number, since it uses less digits than its factorization.

363912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 363912 is about 603.2511914617. The cubic root of 363912 is about 71.3946154795.

It can be divided in two parts, 363 and 912, that added together give a triangular number (1275 = T₅₀).

The spelling of 363912 in words is "three hundred sixty-three thousand, nine hundred twelve".