36404 has 12 divisors (see below), whose sum is σ = 67200. Its totient is φ = 17208.

The previous prime is 36389. The next prime is 36433. The reversal of 36404 is 40463.

It is a super-3 number, since 3×36404³ = 144733335801792, which contains 333 as substring.

It is a plaindrome in base 15.

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 36404.

It is an unprimeable number.

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, 164 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2³⁶⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

36404 is a deficient number, since it is larger than the sum of its proper divisors (30796).

36404 is a wasteful number, since it uses less digits than its factorization.

36404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

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

The square root of 36404 is about 190.7983228438. The cubic root of 36404 is about 33.1423298427.

Adding to 36404 its reverse (40463), we get a palindrome (76867).

The spelling of 36404 in words is "thirty-six thousand, four hundred four".