712733 has 8 divisors (see below), whose sum is σ = 842880. Its totient is φ = 589680.

The previous prime is 712717. The next prime is 712739. The reversal of 712733 is 337217.

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

It is not a de Polignac number, because 712733 - 2⁴ = 712717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 712699 and 712708.

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 712733.

It is not an unprimeable number, because it can be changed into a prime (712739) 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, 1553 + ... + 1958.

It is an arithmetic number, because the mean of its divisors is an integer number (105360).

2⁷¹²⁷³³ is an apocalyptic number.

It is an amenable number.

712733 is a deficient number, since it is larger than the sum of its proper divisors (130147).

712733 is a wasteful number, since it uses less digits than its factorization.

712733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547.

The product of its digits is 882, while the sum is 23.

The square root of 712733 is about 844.2351568136. The cubic root of 712733 is about 89.3255342688.

The spelling of 712733 in words is "seven hundred twelve thousand, seven hundred thirty-three".