193964 has 6 divisors (see below), whose sum is σ = 339444. Its totient is φ = 96980.

The previous prime is 193957. The next prime is 193979. The reversal of 193964 is 469391.

193964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 193964.

It is an unprimeable number.

193964 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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24242 + ... + 24249.

It is an arithmetic number, because the mean of its divisors is an integer number (56574).

2¹⁹³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

193964 is a deficient number, since it is larger than the sum of its proper divisors (145480).

193964 is a wasteful number, since it uses less digits than its factorization.

193964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48495 (or 48493 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 193964 is about 440.4134421200. The cubic root of 193964 is about 57.8860226989.

The spelling of 193964 in words is "one hundred ninety-three thousand, nine hundred sixty-four".