712673 has 6 divisors (see below), whose sum is σ = 771894. Its totient is φ = 657696.

The previous prime is 712669. The next prime is 712681. The reversal of 712673 is 376217.

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 677329 = 188^2 + 823^2 .

It is not a de Polignac number, because 712673 - 2² = 712669 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1940 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (128649).

2⁷¹²⁶⁷³ is an apocalyptic number.

It is an amenable number.

712673 is a deficient number, since it is larger than the sum of its proper divisors (59221).

712673 is a wasteful number, since it uses less digits than its factorization.

712673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4230 counting only the distinct ones).

The product of its digits is 1764, while the sum is 26.

The square root of 712673 is about 844.1996209428. The cubic root of 712673 is about 89.3230276347.

It can be divided in two parts, 71 and 2673, that added together give a cube (2744 = 14³).

The spelling of 712673 in words is "seven hundred twelve thousand, six hundred seventy-three".