381306 has 16 divisors (see below), whose sum is σ = 771264. Its totient is φ = 125664.

The previous prime is 381301. The next prime is 381319. The reversal of 381306 is 603183.

It is not an unprimeable number, because it can be changed into a prime (381301) by changing a digit.

381306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 310 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (48204).

2³⁸¹³⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 617×618.

381306 is an abundant number, since it is smaller than the sum of its proper divisors (389958).

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

381306 is a wasteful number, since it uses less digits than its factorization.

381306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 381306 is about 617.4997975708. The cubic root of 381306 is about 72.5144481708.

Adding to 381306 its reverse (603183), we get a palindrome (984489).

The spelling of 381306 in words is "three hundred eighty-one thousand, three hundred six".