82588261 has 8 divisors (see below), whose sum is σ = 99938880. Its totient is φ = 66625728.

The previous prime is 82588249. The next prime is 82588283. The reversal of 82588261 is 16288528.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82588261 - 2⁵ = 82588229 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 (82588211) 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 7 ways as a sum of consecutive naturals, for example, 346891 + ... + 347128.

It is an arithmetic number, because the mean of its divisors is an integer number (12492360).

Almost surely, 2^82588261 is an apocalyptic number.

It is an amenable number.

82588261 is a deficient number, since it is larger than the sum of its proper divisors (17350619).

82588261 is a wasteful number, since it uses less digits than its factorization.

82588261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694043.

The product of its digits is 61440, while the sum is 40.

The square root of 82588261 is about 9087.8083716593. The cubic root of 82588261 is about 435.4845720862.

The spelling of 82588261 in words is "eighty-two million, five hundred eighty-eight thousand, two hundred sixty-one".