331290 has 40 divisors (see below), whose sum is σ = 892980. Its totient is φ = 88128.

The previous prime is 331283. The next prime is 331301. The reversal of 331290 is 92133.

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 9801 = 567^2 + 99^2 .

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

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331290.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 606 + ... + 1014.

2³³¹²⁹⁰ is an apocalyptic number.

331290 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 331290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446490).

331290 is an abundant number, since it is smaller than the sum of its proper divisors (561690).

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

331290 is a wasteful number, since it uses less digits than its factorization.

331290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

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

The square root of 331290 is about 575.5779703915. The cubic root of 331290 is about 69.1941601318.

The spelling of 331290 in words is "three hundred thirty-one thousand, two hundred ninety".