193013 has 2 divisors, whose sum is σ = 193014. Its totient is φ = 193012.

The previous prime is 193009. The next prime is 193031. The reversal of 193013 is 310391.

Together with next prime (193031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145924 + 47089 = 382^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 193013 - 2² = 193009 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 192982 and 193000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (193003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96506 + 96507.

It is an arithmetic number, because the mean of its divisors is an integer number (96507).

2¹⁹³⁰¹³ is an apocalyptic number.

It is an amenable number.

193013 is a deficient number, since it is larger than the sum of its proper divisors (1).

193013 is an equidigital number, since it uses as much as digits as its factorization.

193013 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 193013 is about 439.3324481529. The cubic root of 193013 is about 57.7912631518.

The spelling of 193013 in words is "one hundred ninety-three thousand, thirteen".