85358129 has 8 divisors (see below), whose sum is σ = 89467200. Its totient is φ = 81282256.

The previous prime is 85358123. The next prime is 85358131. The reversal of 85358129 is 92185358.

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 85358129 - 2⁸ = 85357873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85358123) 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, 2954 + ... + 13395.

It is an arithmetic number, because the mean of its divisors is an integer number (11183400).

Almost surely, 2^85358129 is an apocalyptic number.

It is an amenable number.

85358129 is a deficient number, since it is larger than the sum of its proper divisors (4109071).

85358129 is a wasteful number, since it uses less digits than its factorization.

85358129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16599.

The product of its digits is 86400, while the sum is 41.

The square root of 85358129 is about 9238.9463143802. The cubic root of 85358129 is about 440.2996048311.

The spelling of 85358129 in words is "eighty-five million, three hundred fifty-eight thousand, one hundred twenty-nine".