311418 has 32 divisors (see below), whose sum is σ = 710400. Its totient is φ = 101088.

The previous prime is 311407. The next prime is 311419. The reversal of 311418 is 814113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 311418.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311418.

It is not an unprimeable number, because it can be changed into a prime (311419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903 + ... + 3981.

It is an arithmetic number, because the mean of its divisors is an integer number (22200).

2³¹¹⁴¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355200).

311418 is an abundant number, since it is smaller than the sum of its proper divisors (398982).

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

311418 is a wasteful number, since it uses less digits than its factorization.

311418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 311418 is about 558.0483849990. The cubic root of 311418 is about 67.7820298526.

It can be divided in two parts, 311 and 418, that added together give a 6-th power (729 = 3⁶).

The spelling of 311418 in words is "three hundred eleven thousand, four hundred eighteen".