82717002 has 36 divisors (see below), whose sum is σ = 190394646. Its totient is φ = 25948800.

The previous prime is 82717001. The next prime is 82717007. The reversal of 82717002 is 20071728.

It can be written as a sum of positive squares in 3 ways, for example, as 77422401 + 5294601 = 8799^2 + 2301^2 .

It is not an unprimeable number, because it can be changed into a prime (82717001) 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 17 ways as a sum of consecutive naturals, for example, 2749 + ... + 13152.

Almost surely, 2^82717002 is an apocalyptic number.

82717002 is an abundant number, since it is smaller than the sum of its proper divisors (107677644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82717002 is a wasteful number, since it uses less digits than its factorization.

82717002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 82717002 is about 9094.8887843667. Note that the first 3 decimals coincide. The cubic root of 82717002 is about 435.7107366445.

The spelling of 82717002 in words is "eighty-two million, seven hundred seventeen thousand, two".