712993 has 4 divisors (see below), whose sum is σ = 715968. Its totient is φ = 710020.

The previous prime is 712981. The next prime is 713021. The reversal of 712993 is 399217.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 712993 - 2⁵ = 712961 is a prime.

It is a Duffinian number.

712993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (712913) 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, 1093 + ... + 1618.

It is an arithmetic number, because the mean of its divisors is an integer number (178992).

2⁷¹²⁹⁹³ is an apocalyptic number.

It is an amenable number.

712993 is a deficient number, since it is larger than the sum of its proper divisors (2975).

712993 is a wasteful number, since it uses less digits than its factorization.

712993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974.

The product of its digits is 3402, while the sum is 31.

The square root of 712993 is about 844.3891283052. The cubic root of 712993 is about 89.3363947244.

It can be divided in two parts, 7 and 12993, that multiplied together give a triangular number (90951 = T₄₂₆).

The spelling of 712993 in words is "seven hundred twelve thousand, nine hundred ninety-three".