85766137 has 16 divisors (see below), whose sum is σ = 92670480. Its totient is φ = 79206400.

The previous prime is 85766053. The next prime is 85766147. The reversal of 85766137 is 73166758.

It can be written as a sum of positive squares in 8 ways, for example, as 9308601 + 76457536 = 3051^2 + 8744^2 .

It is a cyclic number.

It is not a de Polignac number, because 85766137 - 2¹⁵ = 85733369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85766093 and 85766102.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62337 + ... + 63697.

It is an arithmetic number, because the mean of its divisors is an integer number (5791905).

Almost surely, 2^85766137 is an apocalyptic number.

It is an amenable number.

85766137 is a deficient number, since it is larger than the sum of its proper divisors (6904343).

85766137 is a wasteful number, since it uses less digits than its factorization.

85766137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484.

The product of its digits is 211680, while the sum is 43.

The square root of 85766137 is about 9261.0008638376. Note that the first 3 decimals coincide. The cubic root of 85766137 is about 441.0000274234. Note that the first 4 decimals are identical.

The spelling of 85766137 in words is "eighty-five million, seven hundred sixty-six thousand, one hundred thirty-seven".