217133969 has 8 divisors (see below), whose sum is σ = 233951592. Its totient is φ = 200332800.

The previous prime is 217133947. The next prime is 217133971. The reversal of 217133969 is 969331712.

217133969 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 4 ways, for example, as 11641744 + 205492225 = 3412^2 + 14335^2 .

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 217133969 - 2⁸ = 217133713 is a prime.

It is a super-2 number, since 2×217133969² = 94294320987385922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217133999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45857 + ... + 50369.

It is an arithmetic number, because the mean of its divisors is an integer number (29243949).

Almost surely, 2^217133969 is an apocalyptic number.

It is an amenable number.

217133969 is a deficient number, since it is larger than the sum of its proper divisors (16817623).

217133969 is a wasteful number, since it uses less digits than its factorization.

217133969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227.

The product of its digits is 61236, while the sum is 41.

The square root of 217133969 is about 14735.4663652020. The cubic root of 217133969 is about 601.0481392370.

The spelling of 217133969 in words is "two hundred seventeen million, one hundred thirty-three thousand, nine hundred sixty-nine".