363006 has 48 divisors (see below), whose sum is σ = 933504. Its totient is φ = 99792.

The previous prime is 362987. The next prime is 363017. The reversal of 363006 is 600363.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 363006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5385 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (19448).

2³⁶³⁰⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 602×603.

It is a practical number, because each smaller number is the sum of distinct divisors of 363006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466752).

363006 is an abundant number, since it is smaller than the sum of its proper divisors (570498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363006 is a wasteful number, since it uses less digits than its factorization.

363006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 363006 is about 602.4997925311. The cubic root of 363006 is about 71.3353179250.

Adding to 363006 its reverse (600363), we get a palindrome (963369).

The spelling of 363006 in words is "three hundred sixty-three thousand, six".