712933 has 8 divisors (see below), whose sum is σ = 774648. Its totient is φ = 652224.

The previous prime is 712927. The next prime is 712939. The reversal of 712933 is 339217.

712933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (712927) and next prime (712939).

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 693889 = 138^2 + 833^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-712933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 712898 and 712907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2091 + ... + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (96831).

2⁷¹²⁹³³ is an apocalyptic number.

It is an amenable number.

712933 is a deficient number, since it is larger than the sum of its proper divisors (61715).

712933 is a wasteful number, since it uses less digits than its factorization.

712933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its digits is 1134, while the sum is 25.

The square root of 712933 is about 844.3535989146. The cubic root of 712933 is about 89.3338886998. Note that the first 3 decimals are identical.

The spelling of 712933 in words is "seven hundred twelve thousand, nine hundred thirty-three".