199753 has 2 divisors, whose sum is σ = 199754. Its totient is φ = 199752.

The previous prime is 199751. The next prime is 199777. The reversal of 199753 is 357991.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182329 + 17424 = 427^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 199753 - 2¹ = 199751 is a prime.

It is a super-2 number, since 2×199753² = 79802522018, which contains 22 as substring.

Together with 199751, it forms a pair of twin primes.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (199751) by changing a digit.

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 as a sum of consecutive naturals, namely, 99876 + 99877.

It is an arithmetic number, because the mean of its divisors is an integer number (99877).

2¹⁹⁹⁷⁵³ is an apocalyptic number.

It is an amenable number.

199753 is a deficient number, since it is larger than the sum of its proper divisors (1).

199753 is an equidigital number, since it uses as much as digits as its factorization.

199753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8505, while the sum is 34.

The square root of 199753 is about 446.9373557894. The cubic root of 199753 is about 58.4562704341.

The spelling of 199753 in words is "one hundred ninety-nine thousand, seven hundred fifty-three".