82125007 has 2 divisors, whose sum is σ = 82125008. Its totient is φ = 82125006.

The previous prime is 82124993. The next prime is 82125023. The reversal of 82125007 is 70052128.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82125007 - 2¹⁵ = 82092239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82125067) by changing a digit.

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 as a sum of consecutive naturals, namely, 41062503 + 41062504.

It is an arithmetic number, because the mean of its divisors is an integer number (41062504).

Almost surely, 2^82125007 is an apocalyptic number.

82125007 is a deficient number, since it is larger than the sum of its proper divisors (1).

82125007 is an equidigital number, since it uses as much as digits as its factorization.

82125007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 82125007 is about 9062.2848664120. The cubic root of 82125007 is about 434.6688050218.

The spelling of 82125007 in words is "eighty-two million, one hundred twenty-five thousand, seven".