712057 has 8 divisors (see below), whose sum is σ = 753984. Its totient is φ = 671088.

The previous prime is 712051. The next prime is 712067. The reversal of 712057 is 750217.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 712057 - 2⁷ = 711929 is a prime.

It is a Duffinian number.

712057 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (712051) 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 7 ways as a sum of consecutive naturals, for example, 1723 + ... + 2095.

It is an arithmetic number, because the mean of its divisors is an integer number (94248).

2⁷¹²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

712057 is a deficient number, since it is larger than the sum of its proper divisors (41927).

712057 is a wasteful number, since it uses less digits than its factorization.

712057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 712057 is about 843.8346994524. The cubic root of 712057 is about 89.2972847177.

The spelling of 712057 in words is "seven hundred twelve thousand, fifty-seven".