51604 has 24 divisors (see below), whose sum is σ = 109760. Its totient is φ = 20736.

The previous prime is 51599. The next prime is 51607. The reversal of 51604 is 40615.

51604 = T₆₄ + T₆₅ + ... + T₈₂.

51604 is nontrivially palindromic in base 11.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51607) 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 7 ways as a sum of consecutive naturals, for example, 484 + ... + 580.

2⁵¹⁶⁰⁴ 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 51604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54880).

51604 is an abundant number, since it is smaller than the sum of its proper divisors (58156).

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

51604 is a wasteful number, since it uses less digits than its factorization.

51604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 51604 is about 227.1651381705. The cubic root of 51604 is about 37.2301216702.

The spelling of 51604 in words is "fifty-one thousand, six hundred four".