363807 has 6 divisors (see below), whose sum is σ = 525512. Its totient is φ = 242532.

The previous prime is 363799. The next prime is 363809. The reversal of 363807 is 708363.

It is a happy number.

It is not a de Polignac number, because 363807 - 2³ = 363799 is a prime.

It is a Duffinian number.

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 363807.

It is not an unprimeable number, because it can be changed into a prime (363809) 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 5 ways as a sum of consecutive naturals, for example, 20203 + ... + 20220.

2³⁶³⁸⁰⁷ is an apocalyptic number.

363807 is a deficient number, since it is larger than the sum of its proper divisors (161705).

363807 is a wasteful number, since it uses less digits than its factorization.

363807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40429 (or 40426 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 363807 is about 603.1641567600. The cubic root of 363807 is about 71.3877482921.

The spelling of 363807 in words is "three hundred sixty-three thousand, eight hundred seven".