83345 has 8 divisors (see below), whose sum is σ = 101760. Its totient is φ = 65520.

The previous prime is 83341. The next prime is 83357. The reversal of 83345 is 54338.

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

It is not a de Polignac number, because 83345 - 2² = 83341 is a prime.

It is a d-powerful number, because it can be written as 8³ + 3⁹ + 3¹⁰ + 4⁶ + 5 .

It is a self number, because there is not a number n which added to its sum of digits gives 83345.

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 83345.

It is not an unprimeable number, because it can be changed into a prime (83341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (12720).

2⁸³³⁴⁵ is an apocalyptic number.

It is an amenable number.

83345 is a deficient number, since it is larger than the sum of its proper divisors (18415).

83345 is a wasteful number, since it uses less digits than its factorization.

83345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its digits is 1440, while the sum is 23.

The square root of 83345 is about 288.6953411470. The cubic root of 83345 is about 43.6810614961.

It can be divided in two parts, 833 and 45, that added together give a palindrome (878).

The spelling of 83345 in words is "eighty-three thousand, three hundred forty-five".