53577 has 6 divisors (see below), whose sum is σ = 77402. Its totient is φ = 35712.

The previous prime is 53569. The next prime is 53591. The reversal of 53577 is 77535.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 24336 = 171^2 + 156^2 .

It is not a de Polignac number, because 53577 - 2³ = 53569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53577.

It is not an unprimeable number, because it can be changed into a prime (53507) 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 5 ways as a sum of consecutive naturals, for example, 2968 + ... + 2985.

2⁵³⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

53577 is a deficient number, since it is larger than the sum of its proper divisors (23825).

53577 is a wasteful number, since it uses less digits than its factorization.

53577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5956 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 53577 is about 231.4670602915. The cubic root of 53577 is about 37.6986788534.

It can be divided in two parts, 53 and 577, that added together give a triangular number (630 = T₃₅).

The spelling of 53577 in words is "fifty-three thousand, five hundred seventy-seven".