712521 has 12 divisors (see below), whose sum is σ = 1089972. Its totient is φ = 446976.

The previous prime is 712511. The next prime is 712531. The reversal of 712521 is 125217.

It is an interprime number because it is at equal distance from previous prime (712511) and next prime (712531).

It can be written as a sum of positive squares in 2 ways, for example, as 308025 + 404496 = 555^2 + 636^2 .

It is not a de Polignac number, because 712521 - 2⁵ = 712489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 712494 and 712503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2176 + ... + 2481.

It is an arithmetic number, because the mean of its divisors is an integer number (90831).

2⁷¹²⁵²¹ is an apocalyptic number.

It is an amenable number.

712521 is a deficient number, since it is larger than the sum of its proper divisors (377451).

712521 is a wasteful number, since it uses less digits than its factorization.

712521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4677 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 712521 is about 844.1095900415. The cubic root of 712521 is about 89.3166768653.

Adding to 712521 its reverse (125217), we get a palindrome (837738).

It can be divided in two parts, 71252 and 1, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 712521 in words is "seven hundred twelve thousand, five hundred twenty-one".