85131135 has 32 divisors (see below), whose sum is σ = 151730880. Its totient is φ = 45287424.

The previous prime is 85131133. The next prime is 85131139. The reversal of 85131135 is 53113158.

It is not a de Polignac number, because 85131135 - 2¹ = 85131133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 85131099 and 85131108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85131133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90387 + ... + 91323.

It is an arithmetic number, because the mean of its divisors is an integer number (4741590).

Almost surely, 2^85131135 is an apocalyptic number.

85131135 is a deficient number, since it is larger than the sum of its proper divisors (66599745).

85131135 is a wasteful number, since it uses less digits than its factorization.

85131135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 85131135 is about 9226.6535103471. The cubic root of 85131135 is about 439.9089601589.

The spelling of 85131135 in words is "eighty-five million, one hundred thirty-one thousand, one hundred thirty-five".