83506 has 8 divisors (see below), whose sum is σ = 128304. Its totient is φ = 40740.

The previous prime is 83497. The next prime is 83537. The reversal of 83506 is 60538.

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

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 3 ways as a sum of consecutive naturals, for example, 400 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (16038).

2⁸³⁵⁰⁶ is an apocalyptic number.

83506 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

83506 is a deficient number, since it is larger than the sum of its proper divisors (44798).

83506 is a wasteful number, since it uses less digits than its factorization.

83506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 83506 is about 288.9740472776. The cubic root of 83506 is about 43.7091700704.

The spelling of 83506 in words is "eighty-three thousand, five hundred six".