364002 has 32 divisors (see below), whose sum is σ = 798720. Its totient is φ = 110160.

The previous prime is 363989. The next prime is 364027. The reversal of 364002 is 200463.

364002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 364002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3483 + ... + 3585.

It is an arithmetic number, because the mean of its divisors is an integer number (24960).

2³⁶⁴⁰⁰² is an apocalyptic number.

364002 is an abundant number, since it is smaller than the sum of its proper divisors (434718).

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

364002 is a wasteful number, since it uses less digits than its factorization.

364002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 364002 is about 603.3257826415. The cubic root of 364002 is about 71.4005005889.

Adding to 364002 its reverse (200463), we get a palindrome (564465).

The spelling of 364002 in words is "three hundred sixty-four thousand, two".