13562 has 4 divisors (see below), whose sum is σ = 20346. Its totient is φ = 6780.

The previous prime is 13553. The next prime is 13567. The reversal of 13562 is 26531.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 26531 = 43 ⋅617.

It can be written as a sum of positive squares in only one way, i.e., 11881 + 1681 = 109^2 + 41^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 13562.

It is not an unprimeable number, because it can be changed into a prime (13567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3389 + ... + 3392.

2¹³⁵⁶² is an apocalyptic number.

13562 is a deficient number, since it is larger than the sum of its proper divisors (6784).

13562 is an equidigital number, since it uses as much as digits as its factorization.

13562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783.

The product of its digits is 180, while the sum is 17.

The square root of 13562 is about 116.4560002748. The cubic root of 13562 is about 23.8474115508.

It can be divided in two parts, 13 and 562, that added together give a palindrome (575).

The spelling of 13562 in words is "thirteen thousand, five hundred sixty-two".