19208 has 20 divisors (see below), whose sum is σ = 42015. Its totient is φ = 8232.

The previous prime is 19207. The next prime is 19211. The reversal of 19208 is 80291.

19208 = T_{77} + T_{78} + ... +
T_{82}.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19208 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 9604 = 98^2 + 98^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=98.

It is a Duffinian number.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a self number, because there is not a number *n* which added to its sum of digits gives 19208.

It is not an unprimeable number, because it can be changed into a prime (19207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 2741 + ... + 2747.

2^{19208} 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 19208

19208 is an abundant number, since it is smaller than the sum of its proper divisors (22807).

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

19208 is an frugal number, since it uses more digits than its factorization.

19208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 19208 is about 138.5929291126. The cubic root of 19208 is about 26.7810365588.

Adding to 19208 its reverse (80291), we get a palindrome (99499).

The spelling of 19208 in words is "nineteen thousand, two hundred eight".

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