19312 has 20 divisors (see below), whose sum is σ = 40176. Its totient is φ = 8960.

The previous prime is 19309. The next prime is 19319. The reversal of 19312 is 21391.

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

It is an Ulam number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19319) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 237 + ... + 307.

2¹⁹³¹² 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 19312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088).

19312 is an abundant number, since it is smaller than the sum of its proper divisors (20864).

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

19312 is a wasteful number, since it uses less digits than its factorization.

19312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 19312 is about 138.9676221283. The cubic root of 19312 is about 26.8292840959.

The spelling of 19312 in words is "nineteen thousand, three hundred twelve".