83161965 has 32 divisors (see below), whose sum is σ = 135970560. Its totient is φ = 43393536.

The previous prime is 83161961. The next prime is 83161987. The reversal of 83161965 is 56916138.

It is not a de Polignac number, because 83161965 - 2² = 83161961 is a prime.

It is a super-2 number, since 2×83161965² = 13831824845322450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83161961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189216 + ... + 189654.

It is an arithmetic number, because the mean of its divisors is an integer number (4249080).

Almost surely, 2^83161965 is an apocalyptic number.

It is an amenable number.

83161965 is a deficient number, since it is larger than the sum of its proper divisors (52808595).

83161965 is a wasteful number, since it uses less digits than its factorization.

83161965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693.

The product of its digits is 38880, while the sum is 39.

The square root of 83161965 is about 9119.3182310960. The cubic root of 83161965 is about 436.4906188406.

The spelling of 83161965 in words is "eighty-three million, one hundred sixty-one thousand, nine hundred sixty-five".