86580291 has 16 divisors (see below), whose sum is σ = 132081408. Its totient is φ = 49418400.

The previous prime is 86580271. The next prime is 86580343. The reversal of 86580291 is 19208568.

It is not a de Polignac number, because 86580291 - 2¹⁰ = 86579267 is a prime.

It is a super-2 number, since 2×86580291² = 14992293579289362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86580271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23056 + ... + 26546.

It is an arithmetic number, because the mean of its divisors is an integer number (8255088).

Almost surely, 2^86580291 is an apocalyptic number.

86580291 is a deficient number, since it is larger than the sum of its proper divisors (45501117).

86580291 is a wasteful number, since it uses less digits than its factorization.

86580291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 86580291 is about 9304.8530885769. The cubic root of 86580291 is about 442.3910651441.

The spelling of 86580291 in words is "eighty-six million, five hundred eighty thousand, two hundred ninety-one".