63577 has 2 divisors, whose sum is σ = 63578. Its totient is φ = 63576.

The previous prime is 63559. The next prime is 63587. The reversal of 63577 is 77536.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 576 = 251^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 63577 - 2¹⁵ = 30809 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (63527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31788 + 31789.

It is an arithmetic number, because the mean of its divisors is an integer number (31789).

2⁶³⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

63577 is a deficient number, since it is larger than the sum of its proper divisors (1).

63577 is an equidigital number, since it uses as much as digits as its factorization.

63577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4410, while the sum is 28.

The square root of 63577 is about 252.1447996688. The cubic root of 63577 is about 39.9116801336.

The spelling of 63577 in words is "sixty-three thousand, five hundred seventy-seven".