712965 has 32 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 331520.

The previous prime is 712961. The next prime is 712967. The reversal of 712965 is 569217.

It is not a de Polignac number, because 712965 - 2² = 712961 is a prime.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4711 + ... + 4859.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁷¹²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

712965 is a deficient number, since it is larger than the sum of its proper divisors (583035).

712965 is a wasteful number, since it uses less digits than its factorization.

712965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its digits is 3780, while the sum is 30.

The square root of 712965 is about 844.3725481089. The cubic root of 712965 is about 89.3352252638.

The spelling of 712965 in words is "seven hundred twelve thousand, nine hundred sixty-five".