86576129 has 2 divisors, whose sum is σ = 86576130. Its totient is φ = 86576128.

The previous prime is 86576111. The next prime is 86576131. The reversal of 86576129 is 92167568.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85525504 + 1050625 = 9248^2 + 1025^2 .

It is a cyclic number.

It is not a de Polignac number, because 86576129 - 2⁸ = 86575873 is a prime.

It is a super-2 number, since 2×86576129² = 14990852225249282, which contains 22 as substring.

Together with 86576131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86576129.

It is not a weakly prime, because it can be changed into another prime (86576159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43288064 + 43288065.

It is an arithmetic number, because the mean of its divisors is an integer number (43288065).

Almost surely, 2^86576129 is an apocalyptic number.

It is an amenable number.

86576129 is a deficient number, since it is larger than the sum of its proper divisors (1).

86576129 is an equidigital number, since it uses as much as digits as its factorization.

86576129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 44.

The square root of 86576129 is about 9304.6294391555. The cubic root of 86576129 is about 442.3839763055.

The spelling of 86576129 in words is "eighty-six million, five hundred seventy-six thousand, one hundred twenty-nine".