85059 has 12 divisors (see below), whose sum is σ = 132496. Its totient is φ = 52272.

The previous prime is 85049. The next prime is 85061. The reversal of 85059 is 95058.

85059 = 10² + 11² + ... + 63².

It is not a de Polignac number, because 85059 - 2⁵ = 85027 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85009) 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, 247 + ... + 480.

2⁸⁵⁰⁵⁹ is an apocalyptic number.

85059 is a deficient number, since it is larger than the sum of its proper divisors (47437).

85059 is a wasteful number, since it uses less digits than its factorization.

85059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 85059 is about 291.6487613552. The cubic root of 85059 is about 43.9784674256.

Subtracting 85059 from its reverse (95058), we obtain a palindrome (9999).

It can be divided in two parts, 850 and 59, that added together give a palindrome (909).

The spelling of 85059 in words is "eighty-five thousand, fifty-nine".