12569 has 2 divisors, whose sum is σ = 12570. Its totient is φ = 12568.

The previous prime is 12553. The next prime is 12577. The reversal of 12569 is 96521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 25 = 112^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 12569 - 2⁴ = 12553 is a prime.

It is a super-2 number, since 2×12569² = 315959522, which contains 22 as substring.

It is a Chen prime.

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

It is a plaindrome in base 10 and base 15.

It is not a weakly prime, because it can be changed into another prime (12539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6284 + 6285.

It is an arithmetic number, because the mean of its divisors is an integer number (6285).

2¹²⁵⁶⁹ is an apocalyptic number.

It is an amenable number.

12569 is a deficient number, since it is larger than the sum of its proper divisors (1).

12569 is an equidigital number, since it uses as much as digits as its factorization.

12569 is an evil number, because the sum of its binary digits is even.

The product of its digits is 540, while the sum is 23.

The square root of 12569 is about 112.1115515904. Note that the first 3 decimals coincide. The cubic root of 12569 is about 23.2505684526.

The spelling of 12569 in words is "twelve thousand, five hundred sixty-nine".