82193772 has 96 divisors (see below), whose sum is σ = 216115200. Its totient is φ = 24192000.

The previous prime is 82193731. The next prime is 82193809. The reversal of 82193772 is 27739128.

It is a self number, because there is not a number n which added to its sum of digits gives 82193772.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204772 + ... + 205172.

It is an arithmetic number, because the mean of its divisors is an integer number (2251200).

Almost surely, 2^82193772 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 82193772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108057600).

82193772 is an abundant number, since it is smaller than the sum of its proper divisors (133921428).

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

82193772 is a wasteful number, since it uses less digits than its factorization.

82193772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 82193772 is about 9066.0780936412. The cubic root of 82193772 is about 434.7900902950.

The spelling of 82193772 in words is "eighty-two million, one hundred ninety-three thousand, seven hundred seventy-two".