82825617 has 64 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 42508800.

The previous prime is 82825559. The next prime is 82825619. The reversal of 82825617 is 71652828.

It is not a de Polignac number, because 82825617 - 2¹¹ = 82823569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82825619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 997858 + ... + 997940.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^82825617 is an apocalyptic number.

It is an amenable number.

82825617 is a deficient number, since it is larger than the sum of its proper divisors (57165423).

82825617 is a wasteful number, since it uses less digits than its factorization.

82825617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its digits is 53760, while the sum is 39.

The square root of 82825617 is about 9100.8580364711. The cubic root of 82825617 is about 435.9013626010.

The spelling of 82825617 in words is "eighty-two million, eight hundred twenty-five thousand, six hundred seventeen".