22085 has 8 divisors (see below), whose sum is σ = 30336. Its totient is φ = 15120.

The previous prime is 22079. The next prime is 22091. The reversal of 22085 is 58022.

22085 = 6² + 7² + ... + 40².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22079) and next prime (22091).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22085 - 2¹⁰ = 21061 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22085.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 281 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (3792).

2²²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

22085 is a deficient number, since it is larger than the sum of its proper divisors (8251).

22085 is an equidigital number, since it uses as much as digits as its factorization.

22085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 22085 is about 148.6102284501. The cubic root of 22085 is about 28.0564338007.

Subtracting 22085 from its reverse (58022), we obtain a cube (35937 = 33³).

The spelling of 22085 in words is "twenty-two thousand, eighty-five".