618312 has 16 divisors (see below), whose sum is σ = 1545840. Its totient is φ = 206096.

The previous prime is 618311. The next prime is 618323. The reversal of 618312 is 213816.

618312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 618312.

It is not an unprimeable number, because it can be changed into a prime (618311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12858 + ... + 12905.

It is an arithmetic number, because the mean of its divisors is an integer number (96615).

2⁶¹⁸³¹² is an apocalyptic number.

It is an amenable number.

618312 is an abundant number, since it is smaller than the sum of its proper divisors (927528).

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

618312 is a wasteful number, since it uses less digits than its factorization.

618312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25772 (or 25768 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 618312 is about 786.3281757638. The cubic root of 618312 is about 85.1927345080.

Subtracting from 618312 its reverse (213816), we obtain a square (404496 = 636²).

The spelling of 618312 in words is "six hundred eighteen thousand, three hundred twelve".