712833193 has 2 divisors, whose sum is σ = 712833194. Its totient is φ = 712833192.

The previous prime is 712833169. The next prime is 712833211. The reversal of 712833193 is 391338217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 574465024 + 138368169 = 23968^2 + 11763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-712833193 is a prime.

It is a super-2 number, since 2×712833193² = 1016262322085150498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (712833293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356416596 + 356416597.

It is an arithmetic number, because the mean of its divisors is an integer number (356416597).

Almost surely, 2^712833193 is an apocalyptic number.

It is an amenable number.

712833193 is a deficient number, since it is larger than the sum of its proper divisors (1).

712833193 is an equidigital number, since it uses as much as digits as its factorization.

712833193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 37.

The square root of 712833193 is about 26698.9361773086. The cubic root of 712833193 is about 893.2971974164.

The spelling of 712833193 in words is "seven hundred twelve million, eight hundred thirty-three thousand, one hundred ninety-three".