86558401 has 2 divisors, whose sum is σ = 86558402. Its totient is φ = 86558400.

The previous prime is 86558393. The next prime is 86558411. The reversal of 86558401 is 10485568.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85082176 + 1476225 = 9224^2 + 1215^2 .

It is a cyclic number.

It is not a de Polignac number, because 86558401 - 2³ = 86558393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (86558411) 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 as a sum of consecutive naturals, namely, 43279200 + 43279201.

It is an arithmetic number, because the mean of its divisors is an integer number (43279201).

Almost surely, 2^86558401 is an apocalyptic number.

It is an amenable number.

86558401 is a deficient number, since it is larger than the sum of its proper divisors (1).

86558401 is an equidigital number, since it uses as much as digits as its factorization.

86558401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 86558401 is about 9303.6767463192. The cubic root of 86558401 is about 442.3537789190.

The spelling of 86558401 in words is "eighty-six million, five hundred fifty-eight thousand, four hundred one".