712881 has 20 divisors (see below), whose sum is σ = 1148532. Its totient is φ = 438048.

The previous prime is 712847. The next prime is 712883. The reversal of 712881 is 188217.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 245025 = 684^2 + 495^2 .

It is not a de Polignac number, because 712881 - 2¹⁴ = 696497 is a prime.

It is a super-2 number, since 2×712881² = 1016398640322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 715 + ... + 1391.

2⁷¹²⁸⁸¹ is an apocalyptic number.

It is an amenable number.

712881 is a deficient number, since it is larger than the sum of its proper divisors (435651).

712881 is a wasteful number, since it uses less digits than its factorization.

712881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 712881 is about 844.3228055667. The cubic root of 712881 is about 89.3317166981.

It can be divided in two parts, 71288 and 1, that added together give a square (71289 = 267²).

The spelling of 712881 in words is "seven hundred twelve thousand, eight hundred eighty-one".