382432833 has 60 divisors (see below), whose sum is σ = 627198660. Its totient is φ = 232217280.

The previous prime is 382432829. The next prime is 382432837. The reversal of 382432833 is 338234283.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (382432829) and next prime (382432837).

It can be written as a sum of positive squares in 2 ways, for example, as 210482064 + 171950769 = 14508^2 + 13113^2 .

It is not a de Polignac number, because 382432833 - 2² = 382432829 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382432837) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12336528 + ... + 12336558.

It is an arithmetic number, because the mean of its divisors is an integer number (10453311).

Almost surely, 2^382432833 is an apocalyptic number.

It is an amenable number.

382432833 is a deficient number, since it is larger than the sum of its proper divisors (244765827).

382432833 is an frugal number, since it uses more digits than its factorization.

382432833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 51 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 382432833 is about 19555.8899823046. The cubic root of 382432833 is about 725.8580932942.

The spelling of 382432833 in words is "three hundred eighty-two million, four hundred thirty-two thousand, eight hundred thirty-three".