193973 has 8 divisors (see below), whose sum is σ = 214368. Its totient is φ = 174384.

The previous prime is 193957. The next prime is 193979. The reversal of 193973 is 379391.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 193973 - 2⁴ = 193957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (26796).

2¹⁹³⁹⁷³ is an apocalyptic number.

193973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

193973 is a deficient number, since it is larger than the sum of its proper divisors (20395).

193973 is a wasteful number, since it uses less digits than its factorization.

193973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its digits is 5103, while the sum is 32.

The square root of 193973 is about 440.4236596733. The cubic root of 193973 is about 57.8869179959.

The spelling of 193973 in words is "one hundred ninety-three thousand, nine hundred seventy-three".