364962 has 16 divisors (see below), whose sum is σ = 786240. Its totient is φ = 112272.

The previous prime is 364961. The next prime is 364979. The reversal of 364962 is 269463.

364962 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×364962² = 266394522888, which contains 22 as substring.

364962 is a modest number, since divided by 962 gives 364 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364962.

It is not an unprimeable number, because it can be changed into a prime (364961) 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, 2262 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2³⁶⁴⁹⁶² is an apocalyptic number.

364962 is an abundant number, since it is smaller than the sum of its proper divisors (421278).

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

364962 is a wasteful number, since it uses less digits than its factorization.

364962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697.

The product of its digits is 7776, while the sum is 30.

The square root of 364962 is about 604.1208488374. The cubic root of 364962 is about 71.4632148140.

Multiplying 364962 by its sum of digits (30), we get a triangular number (10948860 = T₄₆₇₉).

It can be divided in two parts, 364 and 962, that added together give a triangular number (1326 = T₅₁).

The spelling of 364962 in words is "three hundred sixty-four thousand, nine hundred sixty-two".