13974 has 16 divisors (see below), whose sum is σ = 29808. Its totient is φ = 4352.

The previous prime is 13967. The next prime is 13997. The reversal of 13974 is 47931.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1863).

2¹³⁹⁷⁴ is an apocalyptic number.

13974 is an abundant number, since it is smaller than the sum of its proper divisors (15834).

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 (14904).

13974 is a wasteful number, since it uses less digits than its factorization.

13974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 756, while the sum is 24.

The square root of 13974 is about 118.2116745504. The cubic root of 13974 is about 24.0864934678.

The spelling of 13974 in words is "thirteen thousand, nine hundred seventy-four".