363867 has 8 divisors (see below), whose sum is σ = 554496. Its totient is φ = 207912.

The previous prime is 363841. The next prime is 363871. The reversal of 363867 is 768363.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 363867 - 2⁸ = 363611 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363867.

It is not an unprimeable number, because it can be changed into a prime (363887) 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 7 ways as a sum of consecutive naturals, for example, 8643 + ... + 8684.

It is an arithmetic number, because the mean of its divisors is an integer number (69312).

2³⁶³⁸⁶⁷ is an apocalyptic number.

363867 is a deficient number, since it is larger than the sum of its proper divisors (190629).

363867 is a wasteful number, since it uses less digits than its factorization.

363867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17337.

The product of its digits is 18144, while the sum is 33.

The square root of 363867 is about 603.2138924130. The cubic root of 363867 is about 71.3916725610.

Subtracting 363867 from its reverse (768363), we obtain a square (404496 = 636²).

It can be divided in two parts, 363 and 867, that multiplied together give a square (314721 = 561²).

The spelling of 363867 in words is "three hundred sixty-three thousand, eight hundred sixty-seven".