712757 has 4 divisors (see below), whose sum is σ = 719916. Its totient is φ = 705600.

The previous prime is 712739. The next prime is 712781. The reversal of 712757 is 757217.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 757217 = 47 ⋅16111.

It can be written as a sum of positive squares in 2 ways, for example, as 703921 + 8836 = 839^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 712757 - 2⁶ = 712693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3428 + ... + 3629.

It is an arithmetic number, because the mean of its divisors is an integer number (179979).

2⁷¹²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

712757 is a deficient number, since it is larger than the sum of its proper divisors (7159).

712757 is a wasteful number, since it uses less digits than its factorization.

712757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158.

The product of its digits is 3430, while the sum is 29.

The square root of 712757 is about 844.2493707430. The cubic root of 712757 is about 89.3265368830.

The spelling of 712757 in words is "seven hundred twelve thousand, seven hundred fifty-seven".