99504 has 30 divisors (see below), whose sum is σ = 278876. Its totient is φ = 33120.

The previous prime is 99497. The next prime is 99523. The reversal of 99504 is 40599.

99504 = T₇₂ + T₇₃ + ... + T₉₈.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99504.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202 + ... + 489.

2⁹⁹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

99504 is an abundant number, since it is smaller than the sum of its proper divisors (179372).

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

99504 is a wasteful number, since it uses less digits than its factorization.

99504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 99504 is about 315.4425462743. The cubic root of 99504 is about 46.3390201716.

Adding to 99504 its product of nonzero digits (1620), we get a square (101124 = 318²).

The spelling of 99504 in words is "ninety-nine thousand, five hundred four".