13634 has 8 divisors (see below), whose sum is σ = 21708. Its totient is φ = 6400.

The previous prime is 13633. The next prime is 13649. The reversal of 13634 is 43631.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 3025 = 103^2 + 55^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167 + ... + 234.

2¹³⁶³⁴ is an apocalyptic number.

13634 is a deficient number, since it is larger than the sum of its proper divisors (8074).

13634 is a wasteful number, since it uses less digits than its factorization.

13634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420.

The product of its digits is 216, while the sum is 17.

The square root of 13634 is about 116.7647206994. The cubic root of 13634 is about 23.8895386719.

It can be divided in two parts, 136 and 34, that multiplied together give a square (4624 = 68²).

The spelling of 13634 in words is "thirteen thousand, six hundred thirty-four".