315090 has 40 divisors (see below), whose sum is σ = 849420. Its totient is φ = 83808.

The previous prime is 315083. The next prime is 315097. The reversal of 315090 is 90513.

It is an interprime number because it is at equal distance from previous prime (315083) and next prime (315097).

It can be written as a sum of positive squares in 2 ways, for example, as 301401 + 13689 = 549^2 + 117^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315097) by changing a digit.

315090 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 19 ways as a sum of consecutive naturals, for example, 616 + ... + 1004.

315090 is a Friedman number, since it can be written as 35010*9, using all its digits and the basic arithmetic operations.

2³¹⁵⁰⁹⁰ is an apocalyptic number.

315090 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 315090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424710).

315090 is an abundant number, since it is smaller than the sum of its proper divisors (534330).

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

315090 is a wasteful number, since it uses less digits than its factorization.

315090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 315090 is about 561.3287806625. The cubic root of 315090 is about 68.0474006302.

It can be divided in two parts, 3150 and 90, that added together give a triangular number (3240 = T₈₀).

The spelling of 315090 in words is "three hundred fifteen thousand, ninety".