85761 has 12 divisors (see below), whose sum is σ = 133588. Its totient is φ = 52704.

The previous prime is 85751. The next prime is 85781. The reversal of 85761 is 16758.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 32400 = 231^2 + 180^2 .

It is not a de Polignac number, because 85761 - 2¹⁰ = 84737 is a prime.

It is an Ulam number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (85711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 483.

2⁸⁵⁷⁶¹ is an apocalyptic number.

It is an amenable number.

85761 is a deficient number, since it is larger than the sum of its proper divisors (47827).

85761 is a wasteful number, since it uses less digits than its factorization.

85761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 749 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 85761 is about 292.8497908485. The cubic root of 85761 is about 44.0991222618.

The spelling of 85761 in words is "eighty-five thousand, seven hundred sixty-one".