82125891 has 12 divisors (see below), whose sum is σ = 118719432. Its totient is φ = 54707616.

The previous prime is 82125887. The next prime is 82125899. The reversal of 82125891 is 19852128.

It is not a de Polignac number, because 82125891 - 2² = 82125887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82125899) 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 11 ways as a sum of consecutive naturals, for example, 12160 + ... + 17666.

It is an arithmetic number, because the mean of its divisors is an integer number (9893286).

Almost surely, 2^82125891 is an apocalyptic number.

82125891 is a deficient number, since it is larger than the sum of its proper divisors (36593541).

82125891 is a wasteful number, since it uses less digits than its factorization.

82125891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7167 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 82125891 is about 9062.3336398524. Note that the first 3 decimals coincide. The cubic root of 82125891 is about 434.6703646192.

The spelling of 82125891 in words is "eighty-two million, one hundred twenty-five thousand, eight hundred ninety-one".