83985 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 40640.

The previous prime is 83983. The next prime is 83987. The reversal of 83985 is 58938.

It is an interprime number because it is at equal distance from previous prime (83983) and next prime (83987).

It is not a de Polignac number, because 83985 - 2¹ = 83983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a Curzon number.

83985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (83983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2⁸³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

83985 is a deficient number, since it is larger than the sum of its proper divisors (62895).

83985 is a wasteful number, since it uses less digits than its factorization.

83985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its digits is 8640, while the sum is 33.

The square root of 83985 is about 289.8016563100. The cubic root of 83985 is about 43.7925843871.

It can be divided in two parts, 8 and 3985, that added together give a palindrome (3993).

The spelling of 83985 in words is "eighty-three thousand, nine hundred eighty-five".