82589101 has 16 divisors (see below), whose sum is σ = 95825664. Its totient is φ = 69721344.

The previous prime is 82589099. The next prime is 82589107. The reversal of 82589101 is 10198528.

It is not a de Polignac number, because 82589101 - 2¹ = 82589099 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 (82589107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207835 + ... + 208231.

It is an arithmetic number, because the mean of its divisors is an integer number (5989104).

Almost surely, 2^82589101 is an apocalyptic number.

It is an amenable number.

82589101 is a deficient number, since it is larger than the sum of its proper divisors (13236563).

82589101 is a wasteful number, since it uses less digits than its factorization.

82589101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 82589101 is about 9087.8545873050. The cubic root of 82589101 is about 435.4860485099.

The spelling of 82589101 in words is "eighty-two million, five hundred eighty-nine thousand, one hundred one".