82194912 has 120 divisors (see below), whose sum is σ = 254608200. Its totient is φ = 25940736.

The previous prime is 82194899. The next prime is 82194929. The reversal of 82194912 is 21949128.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48414 + ... + 50082.

It is an arithmetic number, because the mean of its divisors is an integer number (2121735).

Almost surely, 2^82194912 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 82194912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127304100).

82194912 is an abundant number, since it is smaller than the sum of its proper divisors (172413288).

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

82194912 is a wasteful number, since it uses less digits than its factorization.

82194912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1693 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 82194912 is about 9066.1409651516. The cubic root of 82194912 is about 434.7921004166.

It can be divided in two parts, 8219 and 4912, that added together give a palindrome (13131).

The spelling of 82194912 in words is "eighty-two million, one hundred ninety-four thousand, nine hundred twelve".