13822952 has 64 divisors (see below), whose sum is σ = 31268160. Its totient is φ = 5644800.

The previous prime is 13822927. The next prime is 13822957. The reversal of 13822952 is 25922831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13822957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49052 + ... + 49332.

It is an arithmetic number, because the mean of its divisors is an integer number (488565).

Almost surely, 2^13822952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13822952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634080).

13822952 is an abundant number, since it is smaller than the sum of its proper divisors (17445208).

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

13822952 is a wasteful number, since it uses less digits than its factorization.

13822952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 13822952 is about 3717.9230761273. The cubic root of 13822952 is about 239.9939350319.

It can be divided in two parts, 1382 and 2952, that added together give a palindrome (4334).

The spelling of 13822952 in words is "thirteen million, eight hundred twenty-two thousand, nine hundred fifty-two".