82199825 has 18 divisors (see below), whose sum is σ = 103510674. Its totient is φ = 64753920.

The previous prime is 82199813. The next prime is 82199827. The reversal of 82199825 is 52899128.

It can be written as a sum of positive squares in 9 ways, for example, as 40157569 + 42042256 = 6337^2 + 6484^2 .

It is not a de Polignac number, because 82199825 - 2⁴ = 82199809 is a prime.

It is a super-2 number, since 2×82199825² = 13513622460061250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82199827) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 132917 + ... + 133533.

It is an arithmetic number, because the mean of its divisors is an integer number (5750593).

Almost surely, 2^82199825 is an apocalyptic number.

It is an amenable number.

82199825 is a deficient number, since it is larger than the sum of its proper divisors (21310849).

82199825 is an equidigital number, since it uses as much as digits as its factorization.

82199825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 695 counting only the distinct ones).

The product of its digits is 103680, while the sum is 44.

The square root of 82199825 is about 9066.4119143132. The cubic root of 82199825 is about 434.8007631224.

The spelling of 82199825 in words is "eighty-two million, one hundred ninety-nine thousand, eight hundred twenty-five".