213442164 has 72 divisors (see below), whose sum is σ = 585453960. Its totient is φ = 65175552.

The previous prime is 213442147. The next prime is 213442171. The reversal of 213442164 is 461244312.

It is a happy number.

213442164 is a `hidden beast` number, since 213 + 442 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7290000 + 206152164 = 2700^2 + 14358^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62452 + ... + 65780.

It is an arithmetic number, because the mean of its divisors is an integer number (8131305).

Almost surely, 2^213442164 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 213442164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292726980).

213442164 is an abundant number, since it is smaller than the sum of its proper divisors (372011796).

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

213442164 is a wasteful number, since it uses less digits than its factorization.

213442164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3484 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 213442164 is about 14609.6599549750. The cubic root of 213442164 is about 597.6222227399.

Adding to 213442164 its reverse (461244312), we get a palindrome (674686476).

The spelling of 213442164 in words is "two hundred thirteen million, four hundred forty-two thousand, one hundred sixty-four".