133197233 has 16 divisors (see below), whose sum is σ = 147646800. Its totient is φ = 119377920.

The previous prime is 133197223. The next prime is 133197241. The reversal of 133197233 is 332791331.

It can be written as a sum of positive squares in 8 ways, for example, as 101747569 + 31449664 = 10087^2 + 5608^2 .

It is a cyclic number.

It is not a de Polignac number, because 133197233 - 2⁴ = 133197217 is a prime.

It is a cake number, because a cake can be divided into 133197233 parts by 928 planar cuts.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133197233.

It is not an unprimeable number, because it can be changed into a prime (133197223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142913 + ... + 143841.

It is an arithmetic number, because the mean of its divisors is an integer number (9227925).

Almost surely, 2^133197233 is an apocalyptic number.

133197233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133197233 is a deficient number, since it is larger than the sum of its proper divisors (14449567).

133197233 is a wasteful number, since it uses less digits than its factorization.

133197233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252.

The product of its digits is 10206, while the sum is 32.

The square root of 133197233 is about 11541.1105618134. The cubic root of 133197233 is about 510.6990708027.

The spelling of 133197233 in words is "one hundred thirty-three million, one hundred ninety-seven thousand, two hundred thirty-three".