167965 has 8 divisors (see below), whose sum is σ = 230400. Its totient is φ = 115152.

The previous prime is 167953. The next prime is 167971. The reversal of 167965 is 569761.

167965 is nontrivially palindromic in base 13.

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 167965 - 2¹³ = 159773 is a prime.

167965 is an undulating number in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 167965.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2365 + ... + 2434.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2¹⁶⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

167965 is a deficient number, since it is larger than the sum of its proper divisors (62435).

167965 is an equidigital number, since it uses as much as digits as its factorization.

167965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811.

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

The square root of 167965 is about 409.8353327862. The cubic root of 167965 is about 55.1746514224.

The spelling of 167965 in words is "one hundred sixty-seven thousand, nine hundred sixty-five".