82516007 has 8 divisors (see below), whose sum is σ = 94432800. Its totient is φ = 70631424.

The previous prime is 82516003. The next prime is 82516033. The reversal of 82516007 is 70061528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82516007 - 2² = 82516003 is a prime.

It is a super-2 number, since 2×82516007² = 13617782822448098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82516003) 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 in 7 ways as a sum of consecutive naturals, for example, 2282 + ... + 13047.

It is an arithmetic number, because the mean of its divisors is an integer number (11804100).

Almost surely, 2^82516007 is an apocalyptic number.

82516007 is a deficient number, since it is larger than the sum of its proper divisors (11916793).

82516007 is a wasteful number, since it uses less digits than its factorization.

82516007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 82516007 is about 9083.8321759046. The cubic root of 82516007 is about 435.3575375560.

The spelling of 82516007 in words is "eighty-two million, five hundred sixteen thousand, seven".