625657 has 2 divisors, whose sum is σ = 625658. Its totient is φ = 625656.

The previous prime is 625643. The next prime is 625661. The reversal of 625657 is 756526.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 622521 + 3136 = 789^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 625657 - 2⁷ = 625529 is a prime.

It is a Chen prime.

625657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (625627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312828 + 312829.

It is an arithmetic number, because the mean of its divisors is an integer number (312829).

2⁶²⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

625657 is a deficient number, since it is larger than the sum of its proper divisors (1).

625657 is an equidigital number, since it uses as much as digits as its factorization.

625657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12600, while the sum is 31.

The square root of 625657 is about 790.9848291845. The cubic root of 625657 is about 85.5287456210.

The spelling of 625657 in words is "six hundred twenty-five thousand, six hundred fifty-seven".