133217617 has 8 divisors (see below), whose sum is σ = 143665256. Its totient is φ = 122798592.

The previous prime is 133217563. The next prime is 133217639. The reversal of 133217617 is 716712331.

It can be written as a sum of positive squares in 4 ways, for example, as 39050001 + 94167616 = 6249^2 + 9704^2 .

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 133217617 - 2⁷ = 133217489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133217647) 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, 3073 + ... + 16609.

It is an arithmetic number, because the mean of its divisors is an integer number (17958157).

Almost surely, 2^133217617 is an apocalyptic number.

It is an amenable number.

133217617 is a deficient number, since it is larger than the sum of its proper divisors (10447639).

133217617 is a wasteful number, since it uses less digits than its factorization.

133217617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14307.

The product of its digits is 5292, while the sum is 31.

The square root of 133217617 is about 11541.9936319511. The cubic root of 133217617 is about 510.7251212910.

Adding to 133217617 its reverse (716712331), we get a palindrome (849929948).

The spelling of 133217617 in words is "one hundred thirty-three million, two hundred seventeen thousand, six hundred seventeen".