331830 has 32 divisors (see below), whose sum is σ = 885600. Its totient is φ = 88416.

The previous prime is 331819. The next prime is 331841. The reversal of 331830 is 38133.

331830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331819) and next prime (331841).

It is a super-2 number, since 2×331830² = 220222297800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

331830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (27675).

2³³¹⁸³⁰ is an apocalyptic number.

331830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331830 is an abundant number, since it is smaller than the sum of its proper divisors (553770).

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

331830 is a wasteful number, since it uses less digits than its factorization.

331830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331830 is about 576.0468730928. The cubic root of 331830 is about 69.2317350293.

Adding to 331830 its reverse (38133), we get a palindrome (369963).

The spelling of 331830 in words is "three hundred thirty-one thousand, eight hundred thirty".