13997400 has 96 divisors (see below), whose sum is σ = 44528400. Its totient is φ = 3635200.

The previous prime is 13997383. The next prime is 13997407. The reversal of 13997400 is 479931.

13997400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13997407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24316 + ... + 24884.

Almost surely, 2^13997400 is an apocalyptic number.

13997400 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 13997400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264200).

13997400 is an abundant number, since it is smaller than the sum of its proper divisors (30531000).

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

13997400 is a wasteful number, since it uses less digits than its factorization.

13997400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13997400 is about 3741.3099310268. The cubic root of 13997400 is about 240.9993055655. Note that the first 3 decimals are identical.

The spelling of 13997400 in words is "thirteen million, nine hundred ninety-seven thousand, four hundred".