712964 has 12 divisors (see below), whose sum is σ = 1425984. Its totient is φ = 305544.

The previous prime is 712961. The next prime is 712967. The reversal of 712964 is 469217.

It is an interprime number because it is at equal distance from previous prime (712961) and next prime (712967).

712964 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12704 + ... + 12759.

It is an arithmetic number, because the mean of its divisors is an integer number (118832).

2⁷¹²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

712964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

712964 is a wasteful number, since it uses less digits than its factorization.

712964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25474 (or 25472 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 712964 is about 844.3719559531. The cubic root of 712964 is about 89.3351834967.

The spelling of 712964 in words is "seven hundred twelve thousand, nine hundred sixty-four".