19124 has 12 divisors (see below), whose sum is σ = 38304. Its totient is φ = 8184.

The previous prime is 19121. The next prime is 19139. The reversal of 19124 is 42191.

It is a happy number.

19124 is an admirable number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19121) 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, 314 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2¹⁹¹²⁴ is an apocalyptic number.

19124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19124 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152).

19124 is a wasteful number, since it uses less digits than its factorization.

19124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 19124 is about 138.2895513045. The cubic root of 19124 is about 26.7419400995.

The spelling of 19124 in words is "nineteen thousand, one hundred twenty-four".