85686761 has 8 divisors (see below), whose sum is σ = 89218248. Its totient is φ = 82224000.

The previous prime is 85686737. The next prime is 85686767. The reversal of 85686761 is 16768658.

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 83265625 = 1556^2 + 9125^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85686761 - 2²² = 81492457 is a prime.

It is a super-2 number, since 2×85686761² = 14684442021342242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85686767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14630 + ... + 19631.

It is an arithmetic number, because the mean of its divisors is an integer number (11152281).

Almost surely, 2^85686761 is an apocalyptic number.

It is an amenable number.

85686761 is a deficient number, since it is larger than the sum of its proper divisors (3531487).

85686761 is a wasteful number, since it uses less digits than its factorization.

85686761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34363.

The product of its digits is 483840, while the sum is 47.

The square root of 85686761 is about 9256.7143739018. The cubic root of 85686761 is about 440.8639378825.

The spelling of 85686761 in words is "eighty-five million, six hundred eighty-six thousand, seven hundred sixty-one".