213117 has 4 divisors (see below), whose sum is σ = 284160. Its totient is φ = 142076.

The previous prime is 213097. The next prime is 213119. The reversal of 213117 is 711312.

213117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 213117 - 2¹² = 209021 is a prime.

It is a D-number.

213117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 213096 and 213105.

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 213117.

It is not an unprimeable number, because it can be changed into a prime (213119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35517 + ... + 35522.

It is an arithmetic number, because the mean of its divisors is an integer number (71040).

2²¹³¹¹⁷ is an apocalyptic number.

It is an amenable number.

213117 is a deficient number, since it is larger than the sum of its proper divisors (71043).

213117 is an equidigital number, since it uses as much as digits as its factorization.

213117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71042.

The product of its digits is 42, while the sum is 15.

The square root of 213117 is about 461.6459682484. The cubic root of 213117 is about 59.7318590142.

Adding to 213117 its reverse (711312), we get a palindrome (924429).

The spelling of 213117 in words is "two hundred thirteen thousand, one hundred seventeen".