85459 has 8 divisors (see below), whose sum is σ = 98928. Its totient is φ = 72960.

The previous prime is 85453. The next prime is 85469. The reversal of 85459 is 95458.

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 85459 - 2³ = 85451 is a prime.

It is a d-powerful number, because it can be written as 8³ + 5 + 4⁴ + 5⁷ + 9⁴ .

It is a Duffinian number.

85459 is a modest number, since divided by 459 gives 85 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 85459.

It is not an unprimeable number, because it can be changed into a prime (85451) 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, 42 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (12366).

2⁸⁵⁴⁵⁹ is an apocalyptic number.

85459 is a deficient number, since it is larger than the sum of its proper divisors (13469).

85459 is a wasteful number, since it uses less digits than its factorization.

85459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485.

The product of its digits is 7200, while the sum is 31.

The square root of 85459 is about 292.3337134167. Note that the first 3 decimals coincide. The cubic root of 85459 is about 44.0472976242.

Subtracting 85459 from its reverse (95458), we obtain a palindrome (9999).

The spelling of 85459 in words is "eighty-five thousand, four hundred fifty-nine".