82161612 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 22708224.

The previous prime is 82161601. The next prime is 82161613. The reversal of 82161612 is 21616128.

It is not an unprimeable number, because it can be changed into a prime (82161613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182764 + ... + 183212.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^82161612 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 82161612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

82161612 is an abundant number, since it is smaller than the sum of its proper divisors (165503988).

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

82161612 is a wasteful number, since it uses less digits than its factorization.

82161612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 82161612 is about 9064.3042755636. The cubic root of 82161612 is about 434.7333760491.

The spelling of 82161612 in words is "eighty-two million, one hundred sixty-one thousand, six hundred twelve".