217356049 has 9 divisors (see below), whose sum is σ = 227572219. Its totient is φ = 207581440.

The previous prime is 217355987. The next prime is 217356053. The reversal of 217356049 is 940653712.

The square root of 217356049 is 14743.

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

217356049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 196196049 + 21160000 = 14007^2 + 4600^2 .

It is not a de Polignac number, because 217356049 - 2¹¹ = 217354001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 217355999 and 217356017.

It is not an unprimeable number, because it can be changed into a prime (217356079) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 338769 + ... + 339409.

Almost surely, 2^217356049 is an apocalyptic number.

217356049 is the 14743-rd square number.

217356049 is the 7372-nd centered octagonal number.

It is an amenable number.

217356049 is a deficient number, since it is larger than the sum of its proper divisors (10216170).

217356049 is an frugal number, since it uses more digits than its factorization.

217356049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 217356049 is about 601.2529824959.

The spelling of 217356049 in words is "two hundred seventeen million, three hundred fifty-six thousand, forty-nine".