13822000 has 40 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 5528000.

The previous prime is 13821971. The next prime is 13822007. The reversal of 13822000 is 22831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13822007) 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, 1456 + ... + 5455.

Almost surely, 2^13822000 is an apocalyptic number.

13822000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13822000 is an abundant number, since it is smaller than the sum of its proper divisors (19604432).

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

13822000 is an equidigital number, since it uses as much as digits as its factorization.

13822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13822000 is about 3717.7950454537. The cubic root of 13822000 is about 239.9884253677.

Adding to 13822000 its reverse (22831), we get a palindrome (13844831).

The spelling of 13822000 in words is "thirteen million, eight hundred twenty-two thousand".