82182122 has 32 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 36169600.

The previous prime is 82182119. The next prime is 82182137. The reversal of 82182122 is 22128128.

It is a junction number, because it is equal to n+sod(n) for n = 82182091 and 82182100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161204 + ... + 161712.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^82182122 is an apocalyptic number.

82182122 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

82182122 is a deficient number, since it is larger than the sum of its proper divisors (56619478).

82182122 is a wasteful number, since it uses less digits than its factorization.

82182122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its digits is 1024, while the sum is 26.

The square root of 82182122 is about 9065.4355659284. The cubic root of 82182122 is about 434.7695471981.

The spelling of 82182122 in words is "eighty-two million, one hundred eighty-two thousand, one hundred twenty-two".