19216 has 10 divisors (see below), whose sum is σ = 37262. Its totient is φ = 9600.

The previous prime is 19213. The next prime is 19219. The reversal of 19216 is 61291.

19216 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (19213) and next prime (19219).

It can be written as a sum of positive squares in only one way, i.e., 10000 + 9216 = 100^2 + 96^2 .

It is a plaindrome in base 11.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19193 and 19202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19211) 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 as a sum of consecutive naturals, namely, 585 + ... + 616.

2¹⁹²¹⁶ is an apocalyptic number.

19216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19216 is a deficient number, since it is larger than the sum of its proper divisors (18046).

19216 is a wasteful number, since it uses less digits than its factorization.

19216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

The square root of 19216 is about 138.6217876093. The cubic root of 19216 is about 26.7847540820.

The spelling of 19216 in words is "nineteen thousand, two hundred sixteen".