712564921 has 2 divisors, whose sum is σ = 712564922. Its totient is φ = 712564920.

The previous prime is 712564903. The next prime is 712564933. The reversal of 712564921 is 129465217.

712564921 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., 439489296 + 273075625 = 20964^2 + 16525^2 .

It is a cyclic number.

It is not a de Polignac number, because 712564921 - 2²³ = 704176313 is a prime.

It is not a weakly prime, because it can be changed into another prime (712564901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356282460 + 356282461.

It is an arithmetic number, because the mean of its divisors is an integer number (356282461).

Almost surely, 2^712564921 is an apocalyptic number.

It is an amenable number.

712564921 is a deficient number, since it is larger than the sum of its proper divisors (1).

712564921 is an equidigital number, since it uses as much as digits as its factorization.

712564921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 712564921 is about 26693.9116841275. The cubic root of 712564921 is about 893.1851203799.

The spelling of 712564921 in words is "seven hundred twelve million, five hundred sixty-four thousand, nine hundred twenty-one".