211417104 has 80 divisors (see below), whose sum is σ = 599961600. Its totient is φ = 63854208.

The previous prime is 211417099. The next prime is 211417109. The reversal of 211417104 is 401714112.

211417104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211417099) and next prime (211417109).

It is not an unprimeable number, because it can be changed into a prime (211417109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15937 + ... + 26015.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^211417104 is an apocalyptic number.

211417104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211417104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

211417104 is an abundant number, since it is smaller than the sum of its proper divisors (388544496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211417104 is a wasteful number, since it uses less digits than its factorization.

211417104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 211417104 is about 14540.1892697447. The cubic root of 211417104 is about 595.7262078925.

The spelling of 211417104 in words is "two hundred eleven million, four hundred seventeen thousand, one hundred four".