712902961 has 2 divisors, whose sum is σ = 712902962. Its totient is φ = 712902960.

The previous prime is 712902937. The next prime is 712902979. The reversal of 712902961 is 169209217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583512336 + 129390625 = 24156^2 + 11375^2 .

It is an emirp because it is prime and its reverse (169209217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712902961 - 2⁷ = 712902833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 712902961.

It is not a weakly prime, because it can be changed into another prime (712902061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356451480 + 356451481.

It is an arithmetic number, because the mean of its divisors is an integer number (356451481).

Almost surely, 2^712902961 is an apocalyptic number.

It is an amenable number.

712902961 is a deficient number, since it is larger than the sum of its proper divisors (1).

712902961 is an equidigital number, since it uses as much as digits as its factorization.

712902961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 712902961 is about 26700.2427142526. The cubic root of 712902961 is about 893.3263400575.

The spelling of 712902961 in words is "seven hundred twelve million, nine hundred two thousand, nine hundred sixty-one".