165937 has 8 divisors (see below), whose sum is σ = 180576. Its totient is φ = 151872.

The previous prime is 165931. The next prime is 165941. The reversal of 165937 is 739561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165937 - 2¹⁵ = 133169 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 165899 and 165908.

It is not an unprimeable number, because it can be changed into a prime (165931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 844.

It is an arithmetic number, because the mean of its divisors is an integer number (22572).

2¹⁶⁵⁹³⁷ is an apocalyptic number.

165937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

165937 is a deficient number, since it is larger than the sum of its proper divisors (14639).

165937 is a wasteful number, since it uses less digits than its factorization.

165937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its digits is 5670, while the sum is 31.

The square root of 165937 is about 407.3536547031. The cubic root of 165937 is about 54.9516931213.

The spelling of 165937 in words is "one hundred sixty-five thousand, nine hundred thirty-seven".