364992 has 28 divisors (see below), whose sum is σ = 966216. Its totient is φ = 121600.

The previous prime is 364979. The next prime is 364993. The reversal of 364992 is 299463.

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 364992.

It is not an unprimeable number, because it can be changed into a prime (364993) by changing a digit.

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, 759 + ... + 1142.

2³⁶⁴⁹⁹² is an apocalyptic number.

364992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

364992 is an abundant number, since it is smaller than the sum of its proper divisors (601224).

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

364992 is a wasteful number, since it uses less digits than its factorization.

364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 364992 is about 604.1456777963. The cubic root of 364992 is about 71.4651728605.

It can be divided in two parts, 3649 and 92, that added together give a triangular number (3741 = T₈₆).

The spelling of 364992 in words is "three hundred sixty-four thousand, nine hundred ninety-two".