83965 has 8 divisors (see below), whose sum is σ = 115200. Its totient is φ = 57552.

The previous prime is 83939. The next prime is 83969. The reversal of 83965 is 56938.

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 83965 - 2⁵ = 83933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83969) 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, 1165 + ... + 1234.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2⁸³⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

83965 is a deficient number, since it is larger than the sum of its proper divisors (31235).

83965 is a wasteful number, since it uses less digits than its factorization.

83965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411.

The product of its digits is 6480, while the sum is 31.

The square root of 83965 is about 289.7671478964. The cubic root of 83965 is about 43.7891078884.

The spelling of 83965 in words is "eighty-three thousand, nine hundred sixty-five".