712525 has 12 divisors (see below), whose sum is σ = 964224. Its totient is φ = 518000.

The previous prime is 712511. The next prime is 712531. The reversal of 712525 is 525217.

712525 = 94² + 95² + ... + 143².

It is not a de Polignac number, because 712525 - 2⁵ = 712493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 712496 and 712505.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 1570.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

2⁷¹²⁵²⁵ is an apocalyptic number.

It is an amenable number.

712525 is a deficient number, since it is larger than the sum of its proper divisors (251699).

712525 is a wasteful number, since it uses less digits than its factorization.

712525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2607 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 712525 is about 844.1119593988. Note that the first 3 decimals coincide. The cubic root of 712525 is about 89.3168440024.

The spelling of 712525 in words is "seven hundred twelve thousand, five hundred twenty-five".