382347 has 36 divisors (see below), whose sum is σ = 699960. Its totient is φ = 205632.

The previous prime is 382331. The next prime is 382351. The reversal of 382347 is 743283.

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 not a de Polignac number, because 382347 - 2⁴ = 382331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3¹⁰ + 8 + 3¹⁰ + 2¹¹ + 4⁹ + 7² .

It is a self number, because there is not a number n which added to its sum of digits gives 382347.

It is not an unprimeable number, because it can be changed into a prime (382357) 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 35 ways as a sum of consecutive naturals, for example, 22483 + ... + 22499.

382347 is a Friedman number, since it can be written as ((43+8)*7)^2*3, using all its digits and the basic arithmetic operations.

2³⁸²³⁴⁷ is an apocalyptic number.

382347 is a deficient number, since it is larger than the sum of its proper divisors (317613).

382347 is a wasteful number, since it uses less digits than its factorization.

382347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 382347 is about 618.3421383021. The cubic root of 382347 is about 72.5803785510.

Multiplying 382347 by its sum of digits (27), we get a square (10323369 = 3213²).

382347 divided by its sum of digits (27) gives a square (14161 = 119²).

It can be divided in two parts, 382 and 347, that added together give a 6-th power (729 = 3⁶).

The spelling of 382347 in words is "three hundred eighty-two thousand, three hundred forty-seven".