364004 has 24 divisors (see below), whose sum is σ = 694008. Its totient is φ = 166400.

The previous prime is 363989. The next prime is 364027. The reversal of 364004 is 400463.

364004 = T₁₂₉ + T₁₃₀ + ... + T₁₆₂.

It can be written as a sum of positive squares in 4 ways, for example, as 240100 + 123904 = 490^2 + 352^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 364004.

It is an unprimeable number.

364004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3554 + ... + 3654.

It is an arithmetic number, because the mean of its divisors is an integer number (28917).

2³⁶⁴⁰⁰⁴ is an apocalyptic number.

364004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

364004 is a deficient number, since it is larger than the sum of its proper divisors (330004).

364004 is a wasteful number, since it uses less digits than its factorization.

364004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 364004 is about 603.3274401185. The cubic root of 364004 is about 71.4006313581.

364004 divided by its sum of digits (17) gives a palindrome (21412).

Adding to 364004 its reverse (400463), we get a palindrome (764467).

The spelling of 364004 in words is "three hundred sixty-four thousand, four".