382713003 has 24 divisors (see below), whose sum is σ = 558544896. Its totient is φ = 252510000.

The previous prime is 382712989. The next prime is 382713041. The reversal of 382713003 is 300317283.

It is not a de Polignac number, because 382713003 - 2⁴ = 382712987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382713043) 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 23 ways as a sum of consecutive naturals, for example, 431026 + ... + 431912.

It is an arithmetic number, because the mean of its divisors is an integer number (23272704).

Almost surely, 2^382713003 is an apocalyptic number.

382713003 is a deficient number, since it is larger than the sum of its proper divisors (175831893).

382713003 is a wasteful number, since it uses less digits than its factorization.

382713003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 382713003 is about 19563.0519858227. The cubic root of 382713003 is about 726.0353043870.

The spelling of 382713003 in words is "three hundred eighty-two million, seven hundred thirteen thousand, three".