313122 has 16 divisors (see below), whose sum is σ = 653760. Its totient is φ = 99792.

The previous prime is 313109. The next prime is 313127. The reversal of 313122 is 221313.

It is a happy number.

313122 is digitally balanced in base 3, 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 a junction number, because it is equal to n+sod(n) for n = 313098 and 313107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313122.

It is not an unprimeable number, because it can be changed into a prime (313127) by changing a digit.

313122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (40860).

2³¹³¹²² is an apocalyptic number.

313122 is an abundant number, since it is smaller than the sum of its proper divisors (340638).

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

313122 is a wasteful number, since it uses less digits than its factorization.

313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297.

The product of its digits is 36, while the sum is 12.

The square root of 313122 is about 559.5730515313. The cubic root of 313122 is about 67.9054337167.

Adding to 313122 its reverse (221313), we get a palindrome (534435).

Subtracting from 313122 its reverse (221313), we obtain a square (91809 = 303²).

It can be divided in two parts, 313 and 122, that added together give a triangular number (435 = T₂₉).

The spelling of 313122 in words is "three hundred thirteen thousand, one hundred twenty-two".