133217205 has 32 divisors (see below), whose sum is σ = 238819968. Its totient is φ = 62841600.

The previous prime is 133217179. The next prime is 133217207. The reversal of 133217205 is 502712331.

It is not a de Polignac number, because 133217205 - 2¹² = 133213109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133217207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4806 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (7463124).

Almost surely, 2^133217205 is an apocalyptic number.

133217205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133217205 is a deficient number, since it is larger than the sum of its proper divisors (105602763).

133217205 is a wasteful number, since it uses less digits than its factorization.

133217205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21877.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 133217205 is about 11541.9757840675. The cubic root of 133217205 is about 510.7245947867.

Adding to 133217205 its reverse (502712331), we get a palindrome (635929536).

The spelling of 133217205 in words is "one hundred thirty-three million, two hundred seventeen thousand, two hundred five".