193005 has 12 divisors (see below), whose sum is σ = 334620. Its totient is φ = 102912.

The previous prime is 193003. The next prime is 193009. The reversal of 193005 is 500391.

193005 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 59049 = 366^2 + 243^2 .

It is not a de Polignac number, because 193005 - 2¹ = 193003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2100 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (27885).

2¹⁹³⁰⁰⁵ is an apocalyptic number.

193005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193005 is a deficient number, since it is larger than the sum of its proper divisors (141615).

193005 is a wasteful number, since it uses less digits than its factorization.

193005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 193005 is about 439.3233433361. The cubic root of 193005 is about 57.7904646970.

Adding to 193005 its reverse (500391), we get a palindrome (693396).

The spelling of 193005 in words is "one hundred ninety-three thousand, five".