82161216 has 112 divisors (see below), whose sum is σ = 244937280. Its totient is φ = 27340416.

The previous prime is 82161203. The next prime is 82161241. The reversal of 82161216 is 61216128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82161216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139675 + ... + 140261.

It is an arithmetic number, because the mean of its divisors is an integer number (2186940).

Almost surely, 2^82161216 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 82161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122468640).

82161216 is an abundant number, since it is smaller than the sum of its proper divisors (162776064).

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

82161216 is an frugal number, since it uses more digits than its factorization.

82161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 592 counting only the distinct ones).

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

The square root of 82161216 is about 9064.2824316103. The cubic root of 82161216 is about 434.7326776098.

The spelling of 82161216 in words is "eighty-two million, one hundred sixty-one thousand, two hundred sixteen".