93504 has 28 divisors (see below), whose sum is σ = 247904. Its totient is φ = 31104.

The previous prime is 93503. The next prime is 93523. The reversal of 93504 is 40539.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93503) 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 3 ways as a sum of consecutive naturals, for example, 52 + ... + 435.

2⁹³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123952).

93504 is an abundant number, since it is smaller than the sum of its proper divisors (154400).

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

93504 is a wasteful number, since it uses less digits than its factorization.

93504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 93504 is about 305.7842376579. The cubic root of 93504 is about 45.3882456454.

The spelling of 93504 in words is "ninety-three thousand, five hundred four".