193916313 has 24 divisors (see below), whose sum is σ = 286910208. Its totient is φ = 126151872.

The previous prime is 193916309. The next prime is 193916321. The reversal of 193916313 is 313619391.

193916313 is a `hidden beast` number, since 19 + 3 + 9 + 1 + 631 + 3 = 666.

It is not a de Polignac number, because 193916313 - 2² = 193916309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193916353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260620 + ... + 261362.

It is an arithmetic number, because the mean of its divisors is an integer number (11954592).

Almost surely, 2^193916313 is an apocalyptic number.

It is an amenable number.

193916313 is a deficient number, since it is larger than the sum of its proper divisors (92993895).

193916313 is a wasteful number, since it uses less digits than its factorization.

193916313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1410 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 193916313 is about 13925.3837649093. The cubic root of 193916313 is about 578.8127845593.

The spelling of 193916313 in words is "one hundred ninety-three million, nine hundred sixteen thousand, three hundred thirteen".