83355 has 8 divisors (see below), whose sum is σ = 133392. Its totient is φ = 44448.

The previous prime is 83341. The next prime is 83357. The reversal of 83355 is 55338.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83355 - 2⁴ = 83339 is a prime.

83355 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2764 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (16674).

2⁸³³⁵⁵ is an apocalyptic number.

83355 is a deficient number, since it is larger than the sum of its proper divisors (50037).

83355 is a wasteful number, since it uses less digits than its factorization.

83355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565.

The product of its digits is 1800, while the sum is 24.

The square root of 83355 is about 288.7126599233. The cubic root of 83355 is about 43.6828084241.

It can be divided in two parts, 833 and 55, that added together give a palindrome (888).

The spelling of 83355 in words is "eighty-three thousand, three hundred fifty-five".