213416217 has 18 divisors (see below), whose sum is σ = 358598058. Its totient is φ = 121951872.

The previous prime is 213416179. The next prime is 213416251. The reversal of 213416217 is 712614312.

213416217 is a `hidden beast` number, since 2 + 1 + 34 + 1 + 621 + 7 = 666.

213416217 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., 209351961 + 4064256 = 14469^2 + 2016^2 .

It is not a de Polignac number, because 213416217 - 2⁶ = 213416153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213416257) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241528 + ... + 242409.

Almost surely, 2^213416217 is an apocalyptic number.

It is an amenable number.

213416217 is a deficient number, since it is larger than the sum of its proper divisors (145181841).

213416217 is a wasteful number, since it uses less digits than its factorization.

213416217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483957 (or 483947 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 213416217 is about 14608.7719196379. The cubic root of 213416217 is about 597.5980052002.

The spelling of 213416217 in words is "two hundred thirteen million, four hundred sixteen thousand, two hundred seventeen".