53004 has 24 divisors (see below), whose sum is σ = 141568. Its totient is φ = 15120.

The previous prime is 53003. The next prime is 53017. The reversal of 53004 is 40035.

53004 = T₄₇ + T₄₈ + ... + T₇₄.

53004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

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 53004.

It is not an unprimeable number, because it can be changed into a prime (53003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 399.

2⁵³⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

53004 is an abundant number, since it is smaller than the sum of its proper divisors (88564).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70784).

53004 is a wasteful number, since it uses less digits than its factorization.

53004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 53004 is about 230.2259759454. The cubic root of 53004 is about 37.5638024960.

Adding to 53004 its reverse (40035), we get a palindrome (93039).

The spelling of 53004 in words is "fifty-three thousand, four".