213411 has 16 divisors (see below), whose sum is σ = 322560. Its totient is φ = 124320.

The previous prime is 213407. The next prime is 213449. The reversal of 213411 is 114312.

It is a happy number.

It is not a de Polignac number, because 213411 - 2² = 213407 is a prime.

213411 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213411.

It is not an unprimeable number, because it can be changed into a prime (213461) 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, 846 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²¹³⁴¹¹ is an apocalyptic number.

213411 is a deficient number, since it is larger than the sum of its proper divisors (109149).

213411 is a wasteful number, since it uses less digits than its factorization.

213411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266.

The product of its digits is 24, while the sum is 12.

The square root of 213411 is about 461.9642843338. The cubic root of 213411 is about 59.7593135695.

Adding to 213411 its reverse (114312), we get a palindrome (327723).

Subtracting from 213411 its reverse (114312), we obtain a palindrome (99099).

It can be divided in two parts, 2134 and 11, that added together give a triangular number (2145 = T₆₅).

The spelling of 213411 in words is "two hundred thirteen thousand, four hundred eleven".