382746 has 32 divisors (see below), whose sum is σ = 943488. Its totient is φ = 100800.

The previous prime is 382729. The next prime is 382747. The reversal of 382746 is 647283.

382746 = T₁₅ + T₁₆ + ... + T₁₃₁.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382746.

It is not an unprimeable number, because it can be changed into a prime (382747) 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 15 ways as a sum of consecutive naturals, for example, 196 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2³⁸²⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

382746 is an abundant number, since it is smaller than the sum of its proper divisors (560742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382746 is a wasteful number, since it uses less digits than its factorization.

382746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726.

The product of its digits is 8064, while the sum is 30.

The square root of 382746 is about 618.6646910888. The cubic root of 382746 is about 72.6056169716.

It can be divided in two parts, 382 and 746, that added together give a triangular number (1128 = T₄₇).

The spelling of 382746 in words is "three hundred eighty-two thousand, seven hundred forty-six".