381282 has 32 divisors (see below), whose sum is σ = 855360. Its totient is φ = 112320.

The previous prime is 381253. The next prime is 381287. The reversal of 381282 is 282183.

381282 = T₂₃ + T₂₄ + ... + T₁₃₁.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3444 + ... + 3552.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2³⁸¹²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680).

381282 is an abundant number, since it is smaller than the sum of its proper divisors (474078).

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

381282 is a wasteful number, since it uses less digits than its factorization.

381282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its digits is 768, while the sum is 24.

The square root of 381282 is about 617.4803640603. The cubic root of 381282 is about 72.5129267477.

Subtracting from 381282 its reverse (282183), we obtain a palindrome (99099).

The spelling of 381282 in words is "three hundred eighty-one thousand, two hundred eighty-two".