200941 has 12 divisors (see below), whose sum is σ = 230580. Its totient is φ = 174720.

The previous prime is 200929. The next prime is 200971. The reversal of 200941 is 149002.

200941 = 49² + 50² + ... + 89².

200941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 75625 + 125316 = 275^2 + 354^2 .

It is not a de Polignac number, because 200941 - 2⁵ = 200909 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4881 + ... + 4921.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2²⁰⁰⁹⁴¹ is an apocalyptic number.

It is an amenable number.

200941 is a deficient number, since it is larger than the sum of its proper divisors (29639).

200941 is a wasteful number, since it uses less digits than its factorization.

200941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 200941 is about 448.2644308887. The cubic root of 200941 is about 58.5719279865.

Adding to 200941 its reverse (149002), we get a palindrome (349943).

It can be divided in two parts, 2009 and 41, that multiplied together give a square (82369 = 287²).

The spelling of 200941 in words is "two hundred thousand, nine hundred forty-one".