363009 has 8 divisors (see below), whose sum is σ = 505152. Its totient is φ = 231440.

The previous prime is 362987. The next prime is 363017. The reversal of 363009 is 900363.

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

It is a cyclic number.

It is not a de Polignac number, because 363009 - 2⁵ = 362977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (363019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2562 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (63144).

2³⁶³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

363009 is a deficient number, since it is larger than the sum of its proper divisors (142143).

363009 is a wasteful number, since it uses less digits than its factorization.

363009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 363009 is about 602.5022821534. The cubic root of 363009 is about 71.3355144372.

The spelling of 363009 in words is "three hundred sixty-three thousand, nine".