82563317 has 16 divisors (see below), whose sum is σ = 87106032. Its totient is φ = 78174720.

The previous prime is 82563301. The next prime is 82563329. The reversal of 82563317 is 71336528.

It can be written as a sum of positive squares in 8 ways, for example, as 9186961 + 73376356 = 3031^2 + 8566^2 .

It is a cyclic number.

It is not a de Polignac number, because 82563317 - 2⁴ = 82563301 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 (82563367) 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, 354233 + ... + 354465.

It is an arithmetic number, because the mean of its divisors is an integer number (5444127).

Almost surely, 2^82563317 is an apocalyptic number.

It is an amenable number.

82563317 is a deficient number, since it is larger than the sum of its proper divisors (4542715).

82563317 is a wasteful number, since it uses less digits than its factorization.

82563317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488.

The product of its digits is 30240, while the sum is 35.

The square root of 82563317 is about 9086.4358799256. The cubic root of 82563317 is about 435.4407247692.

The spelling of 82563317 in words is "eighty-two million, five hundred sixty-three thousand, three hundred seventeen".