712818 has 18 divisors (see below), whose sum is σ = 1552239. Its totient is φ = 236412.

The previous prime is 712807. The next prime is 712819. The reversal of 712818 is 818217.

It can be written as a sum of positive squares in only one way, i.e., 356409 + 356409 = 597^2 + 597^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=597.

It is a super-2 number, since 2×712818² = 1016219002248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 712791 and 712800.

It is not an unprimeable number, because it can be changed into a prime (712819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3483 + ... + 3681.

2⁷¹²⁸¹⁸ is an apocalyptic number.

712818 is an abundant number, since it is smaller than the sum of its proper divisors (839421).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

712818 is a wasteful number, since it uses less digits than its factorization.

712818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 204 counting only the distinct ones).

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

The square root of 712818 is about 844.2854967367. The cubic root of 712818 is about 89.3290850929.

It can be divided in two parts, 71281 and 8, that added together give a square (71289 = 267²).

The spelling of 712818 in words is "seven hundred twelve thousand, eight hundred eighteen".