• 14585² = 212722225 is the smallest square that contains exactly six digits '2'.

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14585 has 4 divisors (see below), whose sum is σ = 17508. Its totient is φ = 11664.

The previous prime is 14563. The next prime is 14591. The reversal of 14585 is 58541.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 58541 = 7 ⋅8363.

It can be written as a sum of positive squares in 2 ways, for example, as 11449 + 3136 = 107^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14585 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14585.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1454 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (4377).

2¹⁴⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

14585 is a deficient number, since it is larger than the sum of its proper divisors (2923).

14585 is an equidigital number, since it uses as much as digits as its factorization.

14585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922.

The product of its digits is 800, while the sum is 23.

The square root of 14585 is about 120.7683733434. The cubic root of 14585 is about 24.4325508409.

Subtracting 14585 from its reverse (58541), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 14585 in words is "fourteen thousand, five hundred eighty-five".