85766229 has 16 divisors (see below), whose sum is σ = 127272640. Its totient is φ = 57082320.

The previous prime is 85766221. The next prime is 85766237. The reversal of 85766229 is 92266758.

It is an interprime number because it is at equal distance from previous prime (85766221) and next prime (85766237).

It is not a de Polignac number, because 85766229 - 2³ = 85766221 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 (85766221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16359 + ... + 20955.

It is an arithmetic number, because the mean of its divisors is an integer number (7954540).

Almost surely, 2^85766229 is an apocalyptic number.

It is an amenable number.

85766229 is a deficient number, since it is larger than the sum of its proper divisors (41506411).

85766229 is a wasteful number, since it uses less digits than its factorization.

85766229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5291 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 85766229 is about 9261.0058309020. The cubic root of 85766229 is about 441.0001851080. Note that the first 3 decimals are identical.

The spelling of 85766229 in words is "eighty-five million, seven hundred sixty-six thousand, two hundred twenty-nine".