53704 has 24 divisors (see below), whose sum is σ = 117990. Its totient is φ = 22848.

The previous prime is 53699. The next prime is 53717. The reversal of 53704 is 40735.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 9604 = 210^2 + 98^2 .

It is an unprimeable number.

53704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 324 + ... + 460.

2⁵³⁷⁰⁴ 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 53704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58995).

53704 is an abundant number, since it is smaller than the sum of its proper divisors (64286).

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

53704 is a wasteful number, since it uses less digits than its factorization.

53704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 53704 is about 231.7412350015. The cubic root of 53704 is about 37.7284425842.

It can be divided in two parts, 53 and 704, that added together give a palindrome (757).

The spelling of 53704 in words is "fifty-three thousand, seven hundred four".