82705007 has 16 divisors (see below), whose sum is σ = 105311232. Its totient is φ = 63071520.

The previous prime is 82705003. The next prime is 82705009. The reversal of 82705007 is 70050728.

It is a cyclic number.

It is not a de Polignac number, because 82705007 - 2² = 82705003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82705003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7808 + ... + 15045.

It is an arithmetic number, because the mean of its divisors is an integer number (6581952).

Almost surely, 2^82705007 is an apocalyptic number.

82705007 is a deficient number, since it is larger than the sum of its proper divisors (22606225).

82705007 is a wasteful number, since it uses less digits than its factorization.

82705007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22918.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 82705007 is about 9094.2293241374. The cubic root of 82705007 is about 435.6896744574.

The spelling of 82705007 in words is "eighty-two million, seven hundred five thousand, seven".