712991 has 4 divisors (see below), whose sum is σ = 722832. Its totient is φ = 703152.

The previous prime is 712981. The next prime is 713021. The reversal of 712991 is 199217.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 199217 = 73 ⋅2729.

It is a cyclic number.

It is not a de Polignac number, because 712991 - 2⁶ = 712927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712991.

It is not an unprimeable number, because it can be changed into a prime (712951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4811 + ... + 4956.

It is an arithmetic number, because the mean of its divisors is an integer number (180708).

2⁷¹²⁹⁹¹ is an apocalyptic number.

712991 is a deficient number, since it is larger than the sum of its proper divisors (9841).

712991 is an equidigital number, since it uses as much as digits as its factorization.

712991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840.

The product of its digits is 1134, while the sum is 29.

The square root of 712991 is about 844.3879440163. The cubic root of 712991 is about 89.3363111925.

The spelling of 712991 in words is "seven hundred twelve thousand, nine hundred ninety-one".