85766157 has 6 divisors (see below), whose sum is σ = 123884462. Its totient is φ = 57177432.

The previous prime is 85766147. The next prime is 85766179. The reversal of 85766157 is 75166758.

It can be written as a sum of positive squares in only one way, i.e., 85766121 + 36 = 9261^2 + 6^2 .

It is not a de Polignac number, because 85766157 - 2¹⁰ = 85765133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85766147) 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 5 ways as a sum of consecutive naturals, for example, 4764778 + ... + 4764795.

Almost surely, 2^85766157 is an apocalyptic number.

It is an amenable number.

85766157 is a deficient number, since it is larger than the sum of its proper divisors (38118305).

85766157 is a wasteful number, since it uses less digits than its factorization.

85766157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529579 (or 9529576 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 85766157 is about 9261.0019436344. The cubic root of 85766157 is about 441.0000617027. Note that the first 4 decimals are identical.

The spelling of 85766157 in words is "eighty-five million, seven hundred sixty-six thousand, one hundred fifty-seven".