83853 has 24 divisors (see below), whose sum is σ = 152256. Its totient is φ = 43560.

The previous prime is 83843. The next prime is 83857. The reversal of 83853 is 35838.

It is not a de Polignac number, because 83853 - 2⁸ = 83597 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83853.

It is not an unprimeable number, because it can be changed into a prime (83857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7618 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (6344).

2⁸³⁸⁵³ is an apocalyptic number.

It is an amenable number.

83853 is a deficient number, since it is larger than the sum of its proper divisors (68403).

83853 is a wasteful number, since it uses less digits than its factorization.

83853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 21 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 83853 is about 289.5738247839. The cubic root of 83853 is about 43.7696292869.

The spelling of 83853 in words is "eighty-three thousand, eight hundred fifty-three".