34585 has 4 divisors (see below), whose sum is σ = 41508. Its totient is φ = 27664.

The previous prime is 34583. The next prime is 34589. The reversal of 34585 is 58543.

34585 = 131² + 132².

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 17161 = 132^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 34585 - 2¹ = 34583 is a prime.

It is a super-2 number, since 2×34585² = 2392244450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (34583) 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 3 ways as a sum of consecutive naturals, for example, 3454 + ... + 3463.

It is an arithmetic number, because the mean of its divisors is an integer number (10377).

2³⁴⁵⁸⁵ is an apocalyptic number.

34585 is the 132-nd centered square number.

It is an amenable number.

34585 is a deficient number, since it is larger than the sum of its proper divisors (6923).

34585 is an equidigital number, since it uses as much as digits as its factorization.

34585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922.

The product of its digits is 2400, while the sum is 25.

The square root of 34585 is about 185.9704277567. The cubic root of 34585 is about 32.5808637237.

The spelling of 34585 in words is "thirty-four thousand, five hundred eighty-five".