82187312 has 40 divisors (see below), whose sum is σ = 170814960. Its totient is φ = 38188800.

The previous prime is 82187311. The next prime is 82187327. The reversal of 82187312 is 21378128.

It is not an unprimeable number, because it can be changed into a prime (82187311) 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, 13562 + ... + 18662.

It is an arithmetic number, because the mean of its divisors is an integer number (4270374).

Almost surely, 2^82187312 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 82187312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85407480).

82187312 is an abundant number, since it is smaller than the sum of its proper divisors (88627648).

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

82187312 is a wasteful number, since it uses less digits than its factorization.

82187312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5175 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 82187312 is about 9065.7218135127. The cubic root of 82187312 is about 434.7786992553.

The spelling of 82187312 in words is "eighty-two million, one hundred eighty-seven thousand, three hundred twelve".