382736013 has 32 divisors (see below), whose sum is σ = 578568192. Its totient is φ = 222955200.

The previous prime is 382735987. The next prime is 382736017. The reversal of 382736013 is 310637283.

It is not a de Polignac number, because 382736013 - 2¹² = 382731917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382736017) 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, 159420 + ... + 161802.

It is an arithmetic number, because the mean of its divisors is an integer number (18080256).

Almost surely, 2^382736013 is an apocalyptic number.

382736013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

382736013 is a deficient number, since it is larger than the sum of its proper divisors (195832179).

382736013 is a wasteful number, since it uses less digits than its factorization.

382736013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 382736013 is about 19563.6400754052. The cubic root of 382736013 is about 726.0498546614.

The spelling of 382736013 in words is "three hundred eighty-two million, seven hundred thirty-six thousand, thirteen".