320133345 has 32 divisors (see below), whose sum is σ = 590020608. Its totient is φ = 145188288.

The previous prime is 320133301. The next prime is 320133347. The reversal of 320133345 is 543331023.

It is a happy number.

It is not a de Polignac number, because 320133345 - 2⁷ = 320133217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (320133347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332 + ... + 25338.

It is an arithmetic number, because the mean of its divisors is an integer number (18438144).

Almost surely, 2^320133345 is an apocalyptic number.

320133345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

320133345 is a deficient number, since it is larger than the sum of its proper divisors (269887263).

320133345 is a wasteful number, since it uses less digits than its factorization.

320133345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 320133345 is about 17892.2705378608. The cubic root of 320133345 is about 684.0853724533.

Adding to 320133345 its reverse (543331023), we get a palindrome (863464368).

The spelling of 320133345 in words is "three hundred twenty million, one hundred thirty-three thousand, three hundred forty-five".