712657 has 16 divisors (see below), whose sum is σ = 853632. Its totient is φ = 587520.

The previous prime is 712651. The next prime is 712669. The reversal of 712657 is 756217.

It is not a de Polignac number, because 712657 - 2¹¹ = 710609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6868 + ... + 6970.

It is an arithmetic number, because the mean of its divisors is an integer number (53352).

2⁷¹²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

712657 is a deficient number, since it is larger than the sum of its proper divisors (140975).

712657 is a wasteful number, since it uses less digits than its factorization.

712657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 2940, while the sum is 28.

The square root of 712657 is about 844.1901444580. The cubic root of 712657 is about 89.3223591752.

It can be divided in two parts, 712 and 657, that added together give a square (1369 = 37²).

The spelling of 712657 in words is "seven hundred twelve thousand, six hundred fifty-seven".