712953 has 12 divisors (see below), whose sum is σ = 1058148. Its totient is φ = 462240.

The previous prime is 712951. The next prime is 712961. The reversal of 712953 is 359217.

It can be written as a sum of positive squares in 2 ways, for example, as 660969 + 51984 = 813^2 + 228^2 .

It is not a de Polignac number, because 712953 - 2¹ = 712951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (88179).

2⁷¹²⁹⁵³ is an apocalyptic number.

It is an amenable number.

712953 is a deficient number, since it is larger than the sum of its proper divisors (345195).

712953 is a wasteful number, since it uses less digits than its factorization.

712953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2181 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 712953 is about 844.3654422109. The cubic root of 712953 is about 89.3347240570.

The spelling of 712953 in words is "seven hundred twelve thousand, nine hundred fifty-three".