211117071 has 24 divisors (see below), whose sum is σ = 318075264. Its totient is φ = 123521440.

The previous prime is 211117061. The next prime is 211117139. The reversal of 211117071 is 170711112.

It is not a de Polignac number, because 211117071 - 2⁶ = 211117007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211117001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23950 + ... + 31556.

It is an arithmetic number, because the mean of its divisors is an integer number (13253136).

Almost surely, 2^211117071 is an apocalyptic number.

211117071 is a deficient number, since it is larger than the sum of its proper divisors (106958193).

211117071 is a wasteful number, since it uses less digits than its factorization.

211117071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 21.

The square root of 211117071 is about 14529.8682375306. The cubic root of 211117071 is about 595.4442658034. Note that the first 3 decimals are identical.

Adding to 211117071 its reverse (170711112), we get a palindrome (381828183).

It can be divided in two parts, 21111 and 7071, that added together give a palindrome (28182).

The spelling of 211117071 in words is "two hundred eleven million, one hundred seventeen thousand, seventy-one".