381807 has 16 divisors (see below), whose sum is σ = 576000. Its totient is φ = 249912.

The previous prime is 381793. The next prime is 381817. The reversal of 381807 is 708183.

It is not a de Polignac number, because 381807 - 2⁴ = 381791 is a prime.

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

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 381807.

It is not an unprimeable number, because it can be changed into a prime (381817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044 + ... + 2222.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2³⁸¹⁸⁰⁷ is an apocalyptic number.

381807 is a deficient number, since it is larger than the sum of its proper divisors (194193).

381807 is a wasteful number, since it uses less digits than its factorization.

381807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 381807 is about 617.9053325551. The cubic root of 381807 is about 72.5461933124.

381807 divided by its sum of digits (27) gives a palindrome (14141).

It can be divided in two parts, 3 and 81807, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 381807 in words is "three hundred eighty-one thousand, eight hundred seven".