193301 has 2 divisors, whose sum is σ = 193302. Its totient is φ = 193300.

The previous prime is 193283. The next prime is 193327. The reversal of 193301 is 103391.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 87025 = 326^2 + 295^2 .

It is an emirp because it is prime and its reverse (103391) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-193301 is a prime.

It is a Chen prime.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 193301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (193381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96650 + 96651.

It is an arithmetic number, because the mean of its divisors is an integer number (96651).

2¹⁹³³⁰¹ is an apocalyptic number.

It is an amenable number.

193301 is a deficient number, since it is larger than the sum of its proper divisors (1).

193301 is an equidigital number, since it uses as much as digits as its factorization.

193301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 193301 is about 439.6600959832. The cubic root of 193301 is about 57.8199928443.

Adding to 193301 its reverse (103391), we get a palindrome (296692).

It can be divided in two parts, 193 and 301, that added together give a palindrome (494).

The spelling of 193301 in words is "one hundred ninety-three thousand, three hundred one".