53864 has 8 divisors (see below), whose sum is σ = 101010. Its totient is φ = 26928.

The previous prime is 53861. The next prime is 53881. The reversal of 53864 is 46835.

53864 = 7² + 8² + ... + 54².

It can be written as a sum of positive squares in only one way, i.e., 28900 + 24964 = 170^2 + 158^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (53861) 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 as a sum of consecutive naturals, namely, 3359 + ... + 3374.

2⁵³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

53864 is a deficient number, since it is larger than the sum of its proper divisors (47146).

53864 is a wasteful number, since it uses less digits than its factorization.

53864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6735 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 53864 is about 232.0861908861. The cubic root of 53864 is about 37.7658734759.

The spelling of 53864 in words is "fifty-three thousand, eight hundred sixty-four".