85792135 has 32 divisors (see below), whose sum is σ = 122294592. Its totient is φ = 56954880.

The previous prime is 85792129. The next prime is 85792141. The reversal of 85792135 is 53129758.

It is an interprime number because it is at equal distance from previous prime (85792129) and next prime (85792141).

It is not a de Polignac number, because 85792135 - 2¹⁵ = 85759367 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68737 + ... + 69973.

It is an arithmetic number, because the mean of its divisors is an integer number (3821706).

Almost surely, 2^85792135 is an apocalyptic number.

85792135 is a deficient number, since it is larger than the sum of its proper divisors (36502457).

85792135 is a wasteful number, since it uses less digits than its factorization.

85792135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its digits is 75600, while the sum is 40.

The square root of 85792135 is about 9262.4043854714. The cubic root of 85792135 is about 441.0445825390.

The spelling of 85792135 in words is "eighty-five million, seven hundred ninety-two thousand, one hundred thirty-five".