85628953 has 16 divisors (see below), whose sum is σ = 92942080. Its totient is φ = 78627024.

The previous prime is 85628903. The next prime is 85628999. The reversal of 85628953 is 35982658.

It is a cyclic number.

It is not a de Polignac number, because 85628953 - 2⁹ = 85628441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85628903) 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, 132850 + ... + 133492.

It is an arithmetic number, because the mean of its divisors is an integer number (5808880).

Almost surely, 2^85628953 is an apocalyptic number.

It is an amenable number.

85628953 is a deficient number, since it is larger than the sum of its proper divisors (7313127).

85628953 is a wasteful number, since it uses less digits than its factorization.

85628953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868.

The product of its digits is 518400, while the sum is 46.

The square root of 85628953 is about 9253.5913568733. The cubic root of 85628953 is about 440.7647736103.

The spelling of 85628953 in words is "eighty-five million, six hundred twenty-eight thousand, nine hundred fifty-three".