712013 has 4 divisors (see below), whose sum is σ = 718428. Its totient is φ = 705600.

The previous prime is 712007. The next prime is 712021. The reversal of 712013 is 310217.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310217 = 31 ⋅10007.

It can be written as a sum of positive squares in 2 ways, for example, as 174724 + 537289 = 418^2 + 733^2 .

It is a cyclic number.

It is not a de Polignac number, because 712013 - 2⁸ = 711757 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712093) 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, 3038 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (179607).

2⁷¹²⁰¹³ is an apocalyptic number.

It is an amenable number.

712013 is a deficient number, since it is larger than the sum of its proper divisors (6415).

712013 is a wasteful number, since it uses less digits than its factorization.

712013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 712013 is about 843.8086275928. The cubic root of 712013 is about 89.2954453699.

The spelling of 712013 in words is "seven hundred twelve thousand, thirteen".