82849905 has 32 divisors (see below), whose sum is σ = 148619520. Its totient is φ = 43787520.

The previous prime is 82849843. The next prime is 82849913. The reversal of 82849905 is 50994828.

It is not a de Polignac number, because 82849905 - 2⁸ = 82849649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 12540 + ... + 17970.

It is an arithmetic number, because the mean of its divisors is an integer number (4644360).

Almost surely, 2^82849905 is an apocalyptic number.

It is an amenable number.

82849905 is a deficient number, since it is larger than the sum of its proper divisors (65769615).

82849905 is a wasteful number, since it uses less digits than its factorization.

82849905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 82849905 is about 9102.1923183374. The cubic root of 82849905 is about 435.9439667210.

The spelling of 82849905 in words is "eighty-two million, eight hundred forty-nine thousand, nine hundred five".