382007 has 8 divisors (see below), whose sum is σ = 422496. Its totient is φ = 343552.

The previous prime is 382003. The next prime is 382021. The reversal of 382007 is 700283.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 382007 - 2² = 382003 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (52812).

2³⁸²⁰⁰⁷ is an apocalyptic number.

382007 is a deficient number, since it is larger than the sum of its proper divisors (40489).

382007 is a wasteful number, since it uses less digits than its factorization.

382007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 382007 is about 618.0671484556. The cubic root of 382007 is about 72.5588582679.

The spelling of 382007 in words is "three hundred eighty-two thousand, seven".