2117311 has 8 divisors (see below), whose sum is σ = 2525184. Its totient is φ = 1735800.

The previous prime is 2117293. The next prime is 2117317. The reversal of 2117311 is 1137112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2117311 - 2⁹ = 2116799 is a prime.

It is a Duffinian number.

2117311 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6415 + ... + 6736.

It is an arithmetic number, because the mean of its divisors is an integer number (315648).

2^2117311 is an apocalyptic number.

2117311 is a deficient number, since it is larger than the sum of its proper divisors (407873).

2117311 is a wasteful number, since it uses less digits than its factorization.

2117311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13181.

The product of its digits is 42, while the sum is 16.

The square root of 2117311 is about 1455.0982784678. The cubic root of 2117311 is about 128.4088287262.

It can be divided in two parts, 21173 and 11, that multiplied together give a triangular number (232903 = T₆₈₂).

The spelling of 2117311 in words is "two million, one hundred seventeen thousand, three hundred eleven".