213364449 has 21 divisors (see below), whose sum is σ = 320492739. Its totient is φ = 141980040.

The previous prime is 213364441. The next prime is 213364469. The reversal of 213364449 is 944463312.

It is a happy number.

The square root of 213364449 is 14607.

It is a perfect power (a square), and thus also a powerful number.

213364449 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 644 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84768849 + 128595600 = 9207^2 + 11340^2 .

It is not a de Polignac number, because 213364449 - 2³ = 213364441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213364441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 394119 + ... + 394659.

It is an arithmetic number, because the mean of its divisors is an integer number (15261559).

Almost surely, 2^213364449 is an apocalyptic number.

213364449 is the 14607-th square number.

213364449 is the 7304-th centered octagonal number.

It is an amenable number.

213364449 is a deficient number, since it is larger than the sum of its proper divisors (107128290).

213364449 is an frugal number, since it uses more digits than its factorization.

213364449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 544 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 213364449 is about 597.5496818571.

Multiplying 213364449 by its sum of digits (36), we get a square (7681120164 = 87642²).

The spelling of 213364449 in words is "two hundred thirteen million, three hundred sixty-four thousand, four hundred forty-nine".