19364 has 12 divisors (see below), whose sum is σ = 34944. Its totient is φ = 9384.

The previous prime is 19333. The next prime is 19373. The reversal of 19364 is 46391.

It is a congruent number.

It is an unprimeable number.

19364 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 in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2¹⁹³⁶⁴ is an apocalyptic number.

It is an amenable number.

19364 is a deficient number, since it is larger than the sum of its proper divisors (15580).

19364 is a wasteful number, since it uses less digits than its factorization.

19364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 19364 is about 139.1545902944. The cubic root of 19364 is about 26.8533429274.

It can be divided in two parts, 1936 and 4, that multiplied together give a square (7744 = 88²).

The spelling of 19364 in words is "nineteen thousand, three hundred sixty-four".