82992100 has 27 divisors (see below), whose sum is σ = 180290761. Its totient is φ = 33160400.

The previous prime is 82992047. The next prime is 82992103. The reversal of 82992100 is 129928.

The square root of 82992100 is 9110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29877156 + 53114944 = 5466^2 + 7288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82992103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90645 + ... + 91555.

Almost surely, 2^82992100 is an apocalyptic number.

82992100 is the 9110-th square number.

It is an amenable number.

82992100 is an abundant number, since it is smaller than the sum of its proper divisors (97298661).

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

82992100 is an equidigital number, since it uses as much as digits as its factorization.

82992100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The cubic root of 82992100 is about 436.1932272050.

It can be divided in two parts, 829 and 92100, that added together give a palindrome (92929).

The spelling of 82992100 in words is "eighty-two million, nine hundred ninety-two thousand, one hundred".