85977 has 12 divisors (see below), whose sum is σ = 127764. Its totient is φ = 55680.

The previous prime is 85933. The next prime is 85991. The reversal of 85977 is 77958.

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 76176 = 99^2 + 276^2 .

It is not a de Polignac number, because 85977 - 2¹⁴ = 69593 is a prime.

Its product of digits (17640) is a multiple of the sum of its prime factors (280).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (85577) 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 11 ways as a sum of consecutive naturals, for example, 253 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2⁸⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

85977 is a deficient number, since it is larger than the sum of its proper divisors (41787).

85977 is a wasteful number, since it uses less digits than its factorization.

85977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 85977 is about 293.2183486755. The cubic root of 85977 is about 44.1361143079.

The spelling of 85977 in words is "eighty-five thousand, nine hundred seventy-seven".