83955 has 16 divisors (see below), whose sum is σ = 139680. Its totient is φ = 43008.

The previous prime is 83939. The next prime is 83969. The reversal of 83955 is 55938.

It is not a de Polignac number, because 83955 - 2⁴ = 83939 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 339 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (8730).

2⁸³⁹⁵⁵ is an apocalyptic number.

83955 is a deficient number, since it is larger than the sum of its proper divisors (55725).

83955 is a wasteful number, since it uses less digits than its factorization.

83955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230.

The product of its digits is 5400, while the sum is 30.

The square root of 83955 is about 289.7498921484. The cubic root of 83955 is about 43.7873694320.

The spelling of 83955 in words is "eighty-three thousand, nine hundred fifty-five".