199751 has 2 divisors, whose sum is σ = 199752. Its totient is φ = 199750.

The previous prime is 199741. The next prime is 199753. The reversal of 199751 is 157991.

199751 is nontrivially palindromic in base 13.

It is a strong prime.

It is an emirp because it is prime and its reverse (157991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199751 - 2⁶ = 199687 is a prime.

Together with 199753, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199751.

It is not a weakly prime, because it can be changed into another prime (199753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99875 + 99876.

It is an arithmetic number, because the mean of its divisors is an integer number (99876).

2¹⁹⁹⁷⁵¹ is an apocalyptic number.

199751 is a deficient number, since it is larger than the sum of its proper divisors (1).

199751 is an equidigital number, since it uses as much as digits as its factorization.

199751 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2835, while the sum is 32.

The square root of 199751 is about 446.9351183337. The cubic root of 199751 is about 58.4560753383.

It can be divided in two parts, 1997 and 51, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 199751 in words is "one hundred ninety-nine thousand, seven hundred fifty-one".