313722 has 24 divisors (see below), whose sum is σ = 704340. Its totient is φ = 100800.

The previous prime is 313721. The next prime is 313727. The reversal of 313722 is 227313.

It can be written as a sum of positive squares in 2 ways, for example, as 301401 + 12321 = 549^2 + 111^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 313695 and 313704.

It is not an unprimeable number, because it can be changed into a prime (313721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222 + ... + 822.

2³¹³⁷²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352170).

313722 is an abundant number, since it is smaller than the sum of its proper divisors (390618).

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

313722 is a wasteful number, since it uses less digits than its factorization.

313722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 313722 is about 560.1089179794. The cubic root of 313722 is about 67.9487791902.

It can be divided in two parts, 313 and 722, that added together give a triangular number (1035 = T₄₅).

The spelling of 313722 in words is "three hundred thirteen thousand, seven hundred twenty-two".