384267 has 16 divisors (see below), whose sum is σ = 564480. Its totient is φ = 231072.

The previous prime is 384259. The next prime is 384277. The reversal of 384267 is 762483.

It is not a de Polignac number, because 384267 - 2³ = 384259 is a prime.

It is a super-2 number, since 2×384267² = 295322254578, which contains 22 as substring.

384267 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (384227) 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, 2218 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2³⁸⁴²⁶⁷ is an apocalyptic number.

384267 is a deficient number, since it is larger than the sum of its proper divisors (180213).

384267 is a wasteful number, since it uses less digits than its factorization.

384267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

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

The square root of 384267 is about 619.8927326562. The cubic root of 384267 is about 72.7016660325.

The spelling of 384267 in words is "three hundred eighty-four thousand, two hundred sixty-seven".