82125945 has 48 divisors (see below), whose sum is σ = 156147264. Its totient is φ = 39600000.

The previous prime is 82125937. The next prime is 82125959. The reversal of 82125945 is 54952128.

It is not a de Polignac number, because 82125945 - 2³ = 82125937 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123915 + ... + 124575.

It is an arithmetic number, because the mean of its divisors is an integer number (3253068).

Almost surely, 2^82125945 is an apocalyptic number.

It is an amenable number.

82125945 is a deficient number, since it is larger than the sum of its proper divisors (74021319).

82125945 is a wasteful number, since it uses less digits than its factorization.

82125945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 931 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 82125945 is about 9062.3366192169. The cubic root of 82125945 is about 434.6704598883.

The spelling of 82125945 in words is "eighty-two million, one hundred twenty-five thousand, nine hundred forty-five".