331137 has 6 divisors (see below), whose sum is σ = 478322. Its totient is φ = 220752.

The previous prime is 331127. The next prime is 331141. The reversal of 331137 is 731133.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 123201 = 456^2 + 351^2 .

It is not a de Polignac number, because 331137 - 2¹¹ = 329089 is a prime.

It is a Duffinian number.

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 331137.

It is not an unprimeable number, because it can be changed into a prime (331127) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 18388 + ... + 18405.

2³³¹¹³⁷ is an apocalyptic number.

It is an amenable number.

331137 is a deficient number, since it is larger than the sum of its proper divisors (147185).

331137 is a wasteful number, since it uses less digits than its factorization.

331137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36799 (or 36796 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 331137 is about 575.4450451607. The cubic root of 331137 is about 69.1835064883.

The spelling of 331137 in words is "three hundred thirty-one thousand, one hundred thirty-seven".