12562 has 8 divisors (see below), whose sum is σ = 20592. Its totient is φ = 5700.

The previous prime is 12553. The next prime is 12569. The reversal of 12562 is 26521.

It is a happy number.

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

It is a d-powerful number, because it can be written as 1 + 2⁶ + 5⁴ + 6⁵ + 2¹² .

It is a pancake number, because a pancake can be divided into 12562 parts by 158 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (12569) by changing a digit.

12562 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (2574).

2¹²⁵⁶² is an apocalyptic number.

12562 is a deficient number, since it is larger than the sum of its proper divisors (8030).

12562 is a wasteful number, since it uses less digits than its factorization.

12562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its digits is 120, while the sum is 16.

The square root of 12562 is about 112.0803283364. The cubic root of 12562 is about 23.2462513708.

It can be divided in two parts, 125 and 62, that multiplied together give a triangular number (7750 = T₁₂₄).

The spelling of 12562 in words is "twelve thousand, five hundred sixty-two".