13376 has 28 divisors (see below), whose sum is σ = 30480. Its totient is φ = 5760.

The previous prime is 13367. The next prime is 13381. The reversal of 13376 is 67331.

Its product of digits (378) is a multiple of the sum of its prime factors (42).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13376.

It is an unprimeable number.

13376 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 3 ways as a sum of consecutive naturals, for example, 695 + ... + 713.

2¹³³⁷⁶ is an apocalyptic number.

13376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240).

13376 is an abundant number, since it is smaller than the sum of its proper divisors (17104).

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

13376 is a wasteful number, since it uses less digits than its factorization.

13376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 32 counting only the distinct ones).

The product of its digits is 378, while the sum is 20.

The square root of 13376 is about 115.6546583584. The cubic root of 13376 is about 23.7378885616.

The spelling of 13376 in words is "thirteen thousand, three hundred seventy-six".