213081417 has 24 divisors (see below), whose sum is σ = 329139720. Its totient is φ = 132364800.

The previous prime is 213081403. The next prime is 213081431. The reversal of 213081417 is 714180312.

It is an interprime number because it is at equal distance from previous prime (213081403) and next prime (213081431).

It can be written as a sum of positive squares in 4 ways, for example, as 176066361 + 37015056 = 13269^2 + 6084^2 .

It is not a de Polignac number, because 213081417 - 2⁷ = 213081289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213081487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8559 + ... + 22347.

It is an arithmetic number, because the mean of its divisors is an integer number (13714155).

Almost surely, 2^213081417 is an apocalyptic number.

It is an amenable number.

213081417 is a deficient number, since it is larger than the sum of its proper divisors (116058303).

213081417 is a wasteful number, since it uses less digits than its factorization.

213081417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13913 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 213081417 is about 14597.3085532916. The cubic root of 213081417 is about 597.2853446002.

The spelling of 213081417 in words is "two hundred thirteen million, eighty-one thousand, four hundred seventeen".