331666137 has 32 divisors (see below), whose sum is σ = 537477120. Its totient is φ = 200466000.

The previous prime is 331666087. The next prime is 331666151. The reversal of 331666137 is 731666133.

It is not a de Polignac number, because 331666137 - 2¹⁹ = 331141849 is a prime.

It is a super-2 number, since 2×331666137² = 220004852865005538, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (331666037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126712 + ... + 129302.

It is an arithmetic number, because the mean of its divisors is an integer number (16796160).

Almost surely, 2^331666137 is an apocalyptic number.

It is an amenable number.

331666137 is a deficient number, since it is larger than the sum of its proper divisors (205810983).

331666137 is a wasteful number, since it uses less digits than its factorization.

331666137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3036 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 331666137 is about 18211.7032976051. The cubic root of 331666137 is about 692.2033723754.

The spelling of 331666137 in words is "three hundred thirty-one million, six hundred sixty-six thousand, one hundred thirty-seven".