165964071 has 32 divisors (see below), whose sum is σ = 281756160. Its totient is φ = 84518784.

The previous prime is 165964063. The next prime is 165964079. The reversal of 165964071 is 170469561.

165964071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165964063) and next prime (165964079).

It is not a de Polignac number, because 165964071 - 2³ = 165964063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165964079) 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, 2565 + ... + 18398.

It is an arithmetic number, because the mean of its divisors is an integer number (8804880).

Almost surely, 2^165964071 is an apocalyptic number.

165964071 is a deficient number, since it is larger than the sum of its proper divisors (115792089).

165964071 is a wasteful number, since it uses less digits than its factorization.

165964071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21015.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 165964071 is about 12882.7043356587. The cubic root of 165964071 is about 549.5468123611.

The spelling of 165964071 in words is "one hundred sixty-five million, nine hundred sixty-four thousand, seventy-one".