81872082 has 24 divisors (see below), whose sum is σ = 177581196. Its totient is φ = 27261216.

The previous prime is 81872071. The next prime is 81872093. The reversal of 81872082 is 28027818.

It is an interprime number because it is at equal distance from previous prime (81872071) and next prime (81872093).

It can be written as a sum of positive squares in 2 ways, for example, as 75012921 + 6859161 = 8661^2 + 2619^2 .

It is a super-2 number, since 2×81872082² = 13406075622029448, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20428 + ... + 24104.

Almost surely, 2^81872082 is an apocalyptic number.

81872082 is an abundant number, since it is smaller than the sum of its proper divisors (95709114).

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

81872082 is a wasteful number, since it uses less digits than its factorization.

81872082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 81872082 is about 9048.3192914486. The cubic root of 81872082 is about 434.2221214987. Note that the first 3 decimals are identical.

It can be divided in two parts, 818 and 72082, that added together give a square (72900 = 270²).

The spelling of 81872082 in words is "eighty-one million, eight hundred seventy-two thousand, eighty-two".