82865601 has 72 divisors (see below), whose sum is σ = 152408256. Its totient is φ = 42456960.

The previous prime is 82865581. The next prime is 82865609. The reversal of 82865601 is 10656828.

It is a happy number.

It is not a de Polignac number, because 82865601 - 2⁵ = 82865569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82865609) 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 71 ways as a sum of consecutive naturals, for example, 457731 + ... + 457911.

Almost surely, 2^82865601 is an apocalyptic number.

It is an amenable number.

82865601 is a deficient number, since it is larger than the sum of its proper divisors (69542655).

82865601 is a wasteful number, since it uses less digits than its factorization.

82865601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82865601 is about 9103.0544873685. The cubic root of 82865601 is about 435.9714949942.

The spelling of 82865601 in words is "eighty-two million, eight hundred sixty-five thousand, six hundred one".