8504 has 8 divisors (see below), whose sum is σ = 15960. Its totient is φ = 4248.

The previous prime is 8501. The next prime is 8513. The reversal of 8504 is 4058.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 524 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

2⁸⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

8504 is a deficient number, since it is larger than the sum of its proper divisors (7456).

8504 is a wasteful number, since it uses less digits than its factorization.

8504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8504 is about 92.2171350672. The cubic root of 8504 is about 20.4114763057.

It can be divided in two parts, 8 and 504, that added together give a 9-th power (512 = 2⁹).

The spelling of 8504 in words is "eight thousand, five hundred four".