165967 has 8 divisors (see below), whose sum is σ = 176400. Its totient is φ = 155904.

The previous prime is 165961. The next prime is 165983. The reversal of 165967 is 769561.

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

It is a de Polignac number, because none of the positive numbers 2^k-165967 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165961) 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, 1663 + ... + 1759.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2¹⁶⁵⁹⁶⁷ is an apocalyptic number.

165967 is a deficient number, since it is larger than the sum of its proper divisors (10433).

165967 is an equidigital number, since it uses as much as digits as its factorization.

165967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185.

The product of its digits is 11340, while the sum is 34.

The square root of 165967 is about 407.3904760792. The cubic root of 165967 is about 54.9550045216.

The spelling of 165967 in words is "one hundred sixty-five thousand, nine hundred sixty-seven".