211416 has 32 divisors (see below), whose sum is σ = 552960. Its totient is φ = 67232.

The previous prime is 211403. The next prime is 211427. The reversal of 211416 is 614112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211395 and 211404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2²¹¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480).

211416 is an abundant number, since it is smaller than the sum of its proper divisors (341544).

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

211416 is a wasteful number, since it uses less digits than its factorization.

211416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 211416 is about 459.7999565028. The cubic root of 211416 is about 59.5725170949.

Adding to 211416 its reverse (614112), we get a palindrome (825528).

The spelling of 211416 in words is "two hundred eleven thousand, four hundred sixteen".