83655 has 36 divisors (see below), whose sum is σ = 171288. Its totient is φ = 37440.

The previous prime is 83653. The next prime is 83663. The reversal of 83655 is 55638.

83655 is a `hidden beast` number, since 8 + 3 + 655 = 666.

It is not a de Polignac number, because 83655 - 2¹ = 83653 is a prime.

Its product of digits (3600) is a multiple of the sum of its prime factors (48).

83655 is a lucky number.

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 83655.

It is not an unprimeable number, because it can be changed into a prime (83653) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6429 + ... + 6441.

It is an arithmetic number, because the mean of its divisors is an integer number (4758).

2⁸³⁶⁵⁵ is an apocalyptic number.

83655 is an abundant number, since it is smaller than the sum of its proper divisors (87633).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85644).

83655 is a wasteful number, since it uses less digits than its factorization.

83655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 32 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 83655 is about 289.2317409967. The cubic root of 83655 is about 43.7351514236.

It can be divided in two parts, 8 and 3655, that added together give a palindrome (3663).

The spelling of 83655 in words is "eighty-three thousand, six hundred fifty-five".