825577 has 2 divisors, whose sum is σ = 825578. Its totient is φ = 825576.

The previous prime is 825553. The next prime is 825593. The reversal of 825577 is 775528.

825577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524176 + 301401 = 724^2 + 549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825577 is a prime.

It is not a weakly prime, because it can be changed into another prime (825527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412788 + 412789.

It is an arithmetic number, because the mean of its divisors is an integer number (412789).

2⁸²⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

825577 is a deficient number, since it is larger than the sum of its proper divisors (1).

825577 is an equidigital number, since it uses as much as digits as its factorization.

825577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19600, while the sum is 34.

The square root of 825577 is about 908.6126787581. The cubic root of 825577 is about 93.8107327959.

The spelling of 825577 in words is "eight hundred twenty-five thousand, five hundred seventy-seven".