13821380 has 24 divisors (see below), whose sum is σ = 29503320. Its totient is φ = 5437440.

The previous prime is 13821377. The next prime is 13821383. The reversal of 13821380 is 8312831.

13821380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13821377) and next prime (13821383).

It can be written as a sum of positive squares in 4 ways, for example, as 42436 + 13778944 = 206^2 + 3712^2 .

It is not an unprimeable number, because it can be changed into a prime (13821383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4445 + ... + 6884.

It is an arithmetic number, because the mean of its divisors is an integer number (1229305).

Almost surely, 2^13821380 is an apocalyptic number.

13821380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13821380 is an abundant number, since it is smaller than the sum of its proper divisors (15681940).

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

13821380 is a wasteful number, since it uses less digits than its factorization.

13821380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11399 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 13821380 is about 3717.7116617618. The cubic root of 13821380 is about 239.9848370050.

The spelling of 13821380 in words is "thirteen million, eight hundred twenty-one thousand, three hundred eighty".