13674 has 16 divisors (see below), whose sum is σ = 28512. Its totient is φ = 4368.

The previous prime is 13669. The next prime is 13679. The reversal of 13674 is 47631.

It is an interprime number because it is at equal distance from previous prime (13669) and next prime (13679).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13674.

It is not an unprimeable number, because it can be changed into a prime (13679) by changing a digit.

13674 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (1782).

2¹³⁶⁷⁴ is an apocalyptic number.

13674 is an abundant number, since it is smaller than the sum of its proper divisors (14838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256).

13674 is a wasteful number, since it uses less digits than its factorization.

13674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

The product of its digits is 504, while the sum is 21.

The square root of 13674 is about 116.9358798658. The cubic root of 13674 is about 23.9128785711.

Adding to 13674 its sum of digits (21), we get a triangular number (13695 = T₁₆₅).

It can be divided in two parts, 136 and 74, that added together give a triangular number (210 = T₂₀).

The spelling of 13674 in words is "thirteen thousand, six hundred seventy-four".