83508 has 12 divisors (see below), whose sum is σ = 194880. Its totient is φ = 27832.

The previous prime is 83497. The next prime is 83537. The reversal of 83508 is 80538.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

83508 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 3468 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (16240).

2⁸³⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

83508 is an abundant number, since it is smaller than the sum of its proper divisors (111372).

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 (97440).

83508 is a wasteful number, since it uses less digits than its factorization.

83508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83508 is about 288.9775077753. The cubic root of 83508 is about 43.7095190179.

The spelling of 83508 in words is "eighty-three thousand, five hundred eight".