712913 has 2 divisors, whose sum is σ = 712914. Its totient is φ = 712912.

The previous prime is 712909. The next prime is 712927. The reversal of 712913 is 319217.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 543169 + 169744 = 737^2 + 412^2 .

It is a cyclic number.

It is not a de Polignac number, because 712913 - 2² = 712909 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712913.

It is not a weakly prime, because it can be changed into another prime (712973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356456 + 356457.

It is an arithmetic number, because the mean of its divisors is an integer number (356457).

2⁷¹²⁹¹³ is an apocalyptic number.

It is an amenable number.

712913 is a deficient number, since it is larger than the sum of its proper divisors (1).

712913 is an equidigital number, since it uses as much as digits as its factorization.

712913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 23.

The square root of 712913 is about 844.3417554521. The cubic root of 712913 is about 89.3330533270. Note that the first 3 decimals are identical.

It can be divided in two parts, 712 and 913, that multiplied together give a palindrome (650056).

The spelling of 712913 in words is "seven hundred twelve thousand, nine hundred thirteen".