82209512 has 64 divisors (see below), whose sum is σ = 193242240. Its totient is φ = 31852800.

The previous prime is 82209511. The next prime is 82209527. The reversal of 82209512 is 21590228.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82209511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195062 + ... + 195482.

It is an arithmetic number, because the mean of its divisors is an integer number (3019410).

Almost surely, 2^82209512 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 82209512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96621120).

82209512 is an abundant number, since it is smaller than the sum of its proper divisors (111032728).

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

82209512 is a wasteful number, since it uses less digits than its factorization.

82209512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 82209512 is about 9066.9461231442. The cubic root of 82209512 is about 434.8178424351.

The spelling of 82209512 in words is "eighty-two million, two hundred nine thousand, five hundred twelve".