331938 has 24 divisors (see below), whose sum is σ = 746928. Its totient is φ = 110484.

The previous prime is 331937. The next prime is 331943. The reversal of 331938 is 839133.

It is a super-2 number, since 2×331938² = 220365671688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331938.

It is not an unprimeable number, because it can be changed into a prime (331937) 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, 145 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2³³¹⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

331938 is an abundant number, since it is smaller than the sum of its proper divisors (414990).

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

331938 is an equidigital number, since it uses as much as digits as its factorization.

331938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 331938 is about 576.1406078381. The cubic root of 331938 is about 69.2392451161.

The spelling of 331938 in words is "three hundred thirty-one thousand, nine hundred thirty-eight".