331000 has 32 divisors (see below), whose sum is σ = 776880. Its totient is φ = 132000.

The previous prime is 330997. The next prime is 331013. The reversal of 331000 is 133.

It is a happy number.

It is a super-2 number, since 2×331000² = 219122000000, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835 + ... + 1165.

2³³¹⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388440).

331000 is an abundant number, since it is smaller than the sum of its proper divisors (445880).

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

331000 is a wasteful number, since it uses less digits than its factorization.

331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 331000 is about 575.3259945457. The cubic root of 331000 is about 69.1739641661.

Adding to 331000 its reverse (133), we get a palindrome (331133).

The spelling of 331000 in words is "three hundred thirty-one thousand".