83512 has 32 divisors (see below), whose sum is σ = 186480. Its totient is φ = 34560.

The previous prime is 83497. The next prime is 83537. The reversal of 83512 is 21538.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83512.

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 7 ways as a sum of consecutive naturals, for example, 1108 + ... + 1180.

2⁸³⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93240).

83512 is an abundant number, since it is smaller than the sum of its proper divisors (102968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83512 is a wasteful number, since it uses less digits than its factorization.

83512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 83512 is about 288.9844286463. The cubic root of 83512 is about 43.7102168963.

It can be divided in two parts, 83 and 512, that added together give a palindrome (595).

The spelling of 83512 in words is "eighty-three thousand, five hundred twelve".