83505 has 16 divisors (see below), whose sum is σ = 141120. Its totient is φ = 42048.

The previous prime is 83497. The next prime is 83537. The reversal of 83505 is 50538.

It is not a de Polignac number, because 83505 - 2³ = 83497 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 139 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁸³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

83505 is a deficient number, since it is larger than the sum of its proper divisors (57615).

83505 is a wasteful number, since it uses less digits than its factorization.

83505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 83505 is about 288.9723170132. The cubic root of 83505 is about 43.7089955945.

The spelling of 83505 in words is "eighty-three thousand, five hundred five".