362004 has 24 divisors (see below), whose sum is σ = 856128. Its totient is φ = 119040.

The previous prime is 362003. The next prime is 362027. The reversal of 362004 is 400263.

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 362004.

It is not an unprimeable number, because it can be changed into a prime (362003) 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 7 ways as a sum of consecutive naturals, for example, 1009 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2³⁶²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

362004 is an abundant number, since it is smaller than the sum of its proper divisors (494124).

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

362004 is a wasteful number, since it uses less digits than its factorization.

362004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

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

The square root of 362004 is about 601.6676823629. The cubic root of 362004 is about 71.2696221733.

Adding to 362004 its reverse (400263), we get a palindrome (762267).

The spelling of 362004 in words is "three hundred sixty-two thousand, four".