82002912 has 48 divisors (see below), whose sum is σ = 224622720. Its totient is φ = 26145152.

The previous prime is 82002887. The next prime is 82002913. The reversal of 82002912 is 21920028.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82002913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16362 + ... + 20777.

It is an arithmetic number, because the mean of its divisors is an integer number (4679640).

Almost surely, 2^82002912 is an apocalyptic number.

It is an amenable number.

82002912 is an abundant number, since it is smaller than the sum of its proper divisors (142619808).

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

82002912 is a wasteful number, since it uses less digits than its factorization.

82002912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37175 (or 37167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 82002912 is about 9055.5459250119. The cubic root of 82002912 is about 434.4532912518.

The spelling of 82002912 in words is "eighty-two million, two thousand, nine hundred twelve".