313290 has 36 divisors (see below), whose sum is σ = 828594. Its totient is φ = 82128.

The previous prime is 313289. The next prime is 313297. The reversal of 313290 is 92313.

It can be written as a sum of positive squares in only one way, i.e., 281961 + 31329 = 531^2 + 177^2 .

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313290.

It is not an unprimeable number, because it can be changed into a prime (313297) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5281 + ... + 5339.

2³¹³²⁹⁰ is an apocalyptic number.

313290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414297).

313290 is an abundant number, since it is smaller than the sum of its proper divisors (515304).

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

313290 is a wasteful number, since it uses less digits than its factorization.

313290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 313290 is about 559.7231458498. The cubic root of 313290 is about 67.9175760267.

It can be divided in two parts, 31 and 3290, that added together give a triangular number (3321 = T₈₁).

The spelling of 313290 in words is "three hundred thirteen thousand, two hundred ninety".