213604417 has 8 divisors (see below), whose sum is σ = 230722856. Its totient is φ = 196584192.

The previous prime is 213604397. The next prime is 213604429. The reversal of 213604417 is 714406312.

It can be written as a sum of positive squares in 4 ways, for example, as 2076481 + 211527936 = 1441^2 + 14544^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213604417 - 2¹⁹ = 213080129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213604217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19998 + ... + 28759.

It is an arithmetic number, because the mean of its divisors is an integer number (28840357).

Almost surely, 2^213604417 is an apocalyptic number.

It is an amenable number.

213604417 is a deficient number, since it is larger than the sum of its proper divisors (17118439).

213604417 is a wasteful number, since it uses less digits than its factorization.

213604417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49107.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 213604417 is about 14615.2118356184. The cubic root of 213604417 is about 597.7736165051.

The spelling of 213604417 in words is "two hundred thirteen million, six hundred four thousand, four hundred seventeen".