13400 has 24 divisors (see below), whose sum is σ = 31620. Its totient is φ = 5280.

The previous prime is 13399. The next prime is 13411. The reversal of 13400 is 431.

13400 = 10² + 11² + ... + 34².

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167 + ... + 233.

2¹³⁴⁰⁰ is an apocalyptic number.

13400 is a gapful number since it is divisible by the number (10) 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 13400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810).

13400 is an abundant number, since it is smaller than the sum of its proper divisors (18220).

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

13400 is a wasteful number, since it uses less digits than its factorization.

13400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13400 is about 115.7583690279. The cubic root of 13400 is about 23.7520773806.

Adding to 13400 its reverse (431), we get a palindrome (13831).

The spelling of 13400 in words is "thirteen thousand, four hundred".