85941 has 10 divisors (see below), whose sum is σ = 128502. Its totient is φ = 57240.

The previous prime is 85933. The next prime is 85991. The reversal of 85941 is 14958.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 8100 = 279^2 + 90^2 .

It is not a de Polignac number, because 85941 - 2³ = 85933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85931) 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 9 ways as a sum of consecutive naturals, for example, 450 + ... + 611.

2⁸⁵⁹⁴¹ is an apocalyptic number.

85941 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85941 is a deficient number, since it is larger than the sum of its proper divisors (42561).

85941 is a wasteful number, since it uses less digits than its factorization.

85941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1064 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 85941 is about 293.1569545482. The cubic root of 85941 is about 44.1299532729.

It can be divided in two parts, 859 and 41, that added together give a square (900 = 30²).

The spelling of 85941 in words is "eighty-five thousand, nine hundred forty-one".