99512 has 16 divisors (see below), whose sum is σ = 213360. Its totient is φ = 42624.

The previous prime is 99497. The next prime is 99523. The reversal of 99512 is 21599.

It is a happy number.

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 99512.

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, 833 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (13335).

2⁹⁹⁵¹² is an apocalyptic number.

It is an amenable number.

99512 is an abundant number, since it is smaller than the sum of its proper divisors (113848).

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 (106680).

99512 is a wasteful number, since it uses less digits than its factorization.

99512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1786 counting only the distinct ones).

The product of its digits is 810, while the sum is 26.

The square root of 99512 is about 315.4552266170. The cubic root of 99512 is about 46.3402620052.

The spelling of 99512 in words is "ninety-nine thousand, five hundred twelve".