656754961 has 2 divisors, whose sum is σ = 656754962. Its totient is φ = 656754960.

The previous prime is 656754947. The next prime is 656754977. The reversal of 656754961 is 169457656.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 429318400 + 227436561 = 20720^2 + 15081^2 .

It is a cyclic number.

It is not a de Polignac number, because 656754961 - 2⁵ = 656754929 is a prime.

It is a super-2 number, since 2×656754961² = 862654157596223042, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (656754911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328377480 + 328377481.

It is an arithmetic number, because the mean of its divisors is an integer number (328377481).

Almost surely, 2^656754961 is an apocalyptic number.

It is an amenable number.

656754961 is a deficient number, since it is larger than the sum of its proper divisors (1).

656754961 is an equidigital number, since it uses as much as digits as its factorization.

656754961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1360800, while the sum is 49.

The square root of 656754961 is about 25627.2308492354. The cubic root of 656754961 is about 869.2294939683.

The spelling of 656754961 in words is "six hundred fifty-six million, seven hundred fifty-four thousand, nine hundred sixty-one".