197793 has 6 divisors (see below), whose sum is σ = 285714. Its totient is φ = 131856.

The previous prime is 197779. The next prime is 197803. The reversal of 197793 is 397791.

197793 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 31329 = 408^2 + 177^2 .

It is not a de Polignac number, because 197793 - 2¹⁰ = 196769 is a prime.

197793 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 197793.

It is not an unprimeable number, because it can be changed into a prime (197713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10980 + ... + 10997.

It is an arithmetic number, because the mean of its divisors is an integer number (47619).

2¹⁹⁷⁷⁹³ is an apocalyptic number.

It is an amenable number.

197793 is a deficient number, since it is larger than the sum of its proper divisors (87921).

197793 is a wasteful number, since it uses less digits than its factorization.

197793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21983 (or 21980 counting only the distinct ones).

The product of its digits is 11907, while the sum is 36.

The square root of 197793 is about 444.7392494485. The cubic root of 197793 is about 58.2644483921.

It can be divided in two parts, 197 and 793, that added together give a triangular number (990 = T₄₄).

The spelling of 197793 in words is "one hundred ninety-seven thousand, seven hundred ninety-three".