82092100 has 18 divisors (see below), whose sum is σ = 178140074. Its totient is φ = 32836800.

The previous prime is 82092091. The next prime is 82092121. The reversal of 82092100 is 129028.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 81108036 = 992^2 + 9006^2 .

It is a super-2 number, since 2×82092100² = 13478225764820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 410361 + ... + 410560.

Almost surely, 2^82092100 is an apocalyptic number.

It is an amenable number.

82092100 is an abundant number, since it is smaller than the sum of its proper divisors (96047974).

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

82092100 is a wasteful number, since it uses less digits than its factorization.

82092100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820935 (or 820928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 82092100 is about 9060.4690827793. The cubic root of 82092100 is about 434.6107408674.

The spelling of 82092100 in words is "eighty-two million, ninety-two thousand, one hundred".