656977 has 2 divisors, whose sum is σ = 656978. Its totient is φ = 656976.

The previous prime is 656959. The next prime is 656989. The reversal of 656977 is 779656.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 641601 + 15376 = 801^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 656977 - 2¹⁵ = 624209 is a prime.

It is a Chen prime.

656977 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (656917) 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, 328488 + 328489.

It is an arithmetic number, because the mean of its divisors is an integer number (328489).

2⁶⁵⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

656977 is a deficient number, since it is larger than the sum of its proper divisors (1).

656977 is an equidigital number, since it uses as much as digits as its factorization.

656977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79380, while the sum is 40.

The square root of 656977 is about 810.5411772390. The cubic root of 656977 is about 86.9327440748.

The spelling of 656977 in words is "six hundred fifty-six thousand, nine hundred seventy-seven".