200361 has 24 divisors (see below), whose sum is σ = 328320. Its totient is φ = 108192.

The previous prime is 200357. The next prime is 200363. The reversal of 200361 is 163002.

200361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200361 - 2² = 200357 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4240 + ... + 4286.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2²⁰⁰³⁶¹ is an apocalyptic number.

200361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200361 is a deficient number, since it is larger than the sum of its proper divisors (127959).

200361 is a wasteful number, since it uses less digits than its factorization.

200361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200361 is about 447.6170238049. The cubic root of 200361 is about 58.5155192955.

Adding to 200361 its reverse (163002), we get a palindrome (363363).

It can be divided in two parts, 200 and 361, that added together give a triangular number (561 = T₃₃).

The spelling of 200361 in words is "two hundred thousand, three hundred sixty-one".