53764 has 6 divisors (see below), whose sum is σ = 94094. Its totient is φ = 26880.

The previous prime is 53759. The next prime is 53773. The reversal of 53764 is 46735.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 16900 = 192^2 + 130^2 .

It is a congruent number.

It is an unprimeable number.

53764 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6717 + ... + 6724.

2⁵³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

53764 is a deficient number, since it is larger than the sum of its proper divisors (40330).

53764 is a wasteful number, since it uses less digits than its factorization.

53764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13445 (or 13443 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 53764 is about 231.8706535981. The cubic root of 53764 is about 37.7424878697.

The spelling of 53764 in words is "fifty-three thousand, seven hundred sixty-four".