22408 has 8 divisors (see below), whose sum is σ = 42030. Its totient is φ = 11200.

The previous prime is 22397. The next prime is 22409. The reversal of 22408 is 80422.

22408 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 3364 = 138^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 22391 and 22400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22409) by changing a digit.

22408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1393 + ... + 1408.

2²²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

22408 is a deficient number, since it is larger than the sum of its proper divisors (19622).

22408 is a wasteful number, since it uses less digits than its factorization.

22408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22408 is about 149.6930192093. The cubic root of 22408 is about 28.1925503854.

The spelling of 22408 in words is "twenty-two thousand, four hundred eight".