133824321 has 12 divisors (see below), whose sum is σ = 193747840. Its totient is φ = 89010360.

The previous prime is 133824253. The next prime is 133824347. The reversal of 133824321 is 123428331.

133824321 is a `hidden beast` number, since 1 + 338 + 2 + 4 + 321 = 666.

It is not a de Polignac number, because 133824321 - 2⁷ = 133824193 is a prime.

It is a super-2 number, since 2×133824321² = 35817897782222082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133824371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12985 + ... + 20886.

Almost surely, 2^133824321 is an apocalyptic number.

It is an amenable number.

133824321 is a deficient number, since it is larger than the sum of its proper divisors (59923519).

133824321 is a wasteful number, since it uses less digits than its factorization.

133824321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34316 (or 34313 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 133824321 is about 11568.2462370058. The cubic root of 133824321 is about 511.4992675778.

The spelling of 133824321 in words is "one hundred thirty-three million, eight hundred twenty-four thousand, three hundred twenty-one".