82291972 has 36 divisors (see below), whose sum is σ = 169222284. Its totient is φ = 34910400.

The previous prime is 82291969. The next prime is 82291997. The reversal of 82291972 is 27919228.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 19945156 = 7896^2 + 4466^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17718 + ... + 21874.

It is an arithmetic number, because the mean of its divisors is an integer number (4700619).

Almost surely, 2^82291972 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 82291972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84611142).

82291972 is an abundant number, since it is smaller than the sum of its proper divisors (86930312).

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

82291972 is a wasteful number, since it uses less digits than its factorization.

82291972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4267 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 82291972 is about 9071.4922697426. The cubic root of 82291972 is about 434.9631747573.

It can be divided in two parts, 8229 and 1972, that added together give a palindrome (10201).

The spelling of 82291972 in words is "eighty-two million, two hundred ninety-one thousand, nine hundred seventy-two".