712563 has 12 divisors (see below), whose sum is σ = 995400. Its totient is φ = 453376.

The previous prime is 712561. The next prime is 712571. The reversal of 712563 is 365217.

It is not a de Polignac number, because 712563 - 2¹ = 712561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712561) 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, 1363 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (82950).

2⁷¹²⁵⁶³ is an apocalyptic number.

712563 is a deficient number, since it is larger than the sum of its proper divisors (282837).

712563 is a wasteful number, since it uses less digits than its factorization.

712563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 475 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 712563 is about 844.1344679611. The cubic root of 712563 is about 89.3184317735.

It can be divided in two parts, 712 and 563, that added together give a triangular number (1275 = T₅₀).

The spelling of 712563 in words is "seven hundred twelve thousand, five hundred sixty-three".