85766135 has 32 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 53987328.

The previous prime is 85766053. The next prime is 85766147. The reversal of 85766135 is 53166758.

It is a cyclic number.

It is not a de Polignac number, because 85766135 - 2⁸ = 85765879 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 85766092 and 85766101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105611 + ... + 106419.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2^85766135 is an apocalyptic number.

85766135 is a deficient number, since it is larger than the sum of its proper divisors (41604745).

85766135 is a wasteful number, since it uses less digits than its factorization.

85766135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067.

The product of its digits is 151200, while the sum is 41.

The square root of 85766135 is about 9261.0007558579. Note that the first 3 decimals coincide. The cubic root of 85766135 is about 441.0000239955. Note that the first 4 decimals are identical.

The spelling of 85766135 in words is "eighty-five million, seven hundred sixty-six thousand, one hundred thirty-five".