82192705 has 16 divisors (see below), whose sum is σ = 119352960. Its totient is φ = 53044992.

The previous prime is 82192679. The next prime is 82192751. The reversal of 82192705 is 50729128.

It is not a de Polignac number, because 82192705 - 2¹³ = 82184513 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 68475 + ... + 69664.

It is an arithmetic number, because the mean of its divisors is an integer number (7459560).

Almost surely, 2^82192705 is an apocalyptic number.

82192705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82192705 is a deficient number, since it is larger than the sum of its proper divisors (37160255).

82192705 is a wasteful number, since it uses less digits than its factorization.

82192705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138168.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 82192705 is about 9066.0192477184. The cubic root of 82192705 is about 434.7882088750.

The spelling of 82192705 in words is "eighty-two million, one hundred ninety-two thousand, seven hundred five".