85963 has 8 divisors (see below), whose sum is σ = 92160. Its totient is φ = 80040.

The previous prime is 85933. The next prime is 85991. The reversal of 85963 is 36958.

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 85963 - 2⁵ = 85931 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a d-powerful number, because it can be written as 8³ + 5⁷ + 9³ + 6² + 3⁸ .

It is a Duffinian number.

85963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428 + ... + 1486.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2⁸⁵⁹⁶³ is an apocalyptic number.

85963 is a deficient number, since it is larger than the sum of its proper divisors (6197).

85963 is a wasteful number, since it uses less digits than its factorization.

85963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

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

The square root of 85963 is about 293.1944747092. The cubic root of 85963 is about 44.1337185542.

The spelling of 85963 in words is "eighty-five thousand, nine hundred sixty-three".