200889 has 24 divisors (see below), whose sum is σ = 334152. Its totient is φ = 115200.

The previous prime is 200881. The next prime is 200891. The reversal of 200889 is 988002.

It can be written as a sum of positive squares in 4 ways, for example, as 71289 + 129600 = 267^2 + 360^2 .

It is not a de Polignac number, because 200889 - 2³ = 200881 is a prime.

200889 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200881) 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, 1939 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2²⁰⁰⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

200889 is a deficient number, since it is larger than the sum of its proper divisors (133263).

200889 is a wasteful number, since it uses less digits than its factorization.

200889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 200889 is about 448.2064256568. The cubic root of 200889 is about 58.5668750886.

It can be divided in two parts, 200 and 889, that added together give a square (1089 = 33²).

The spelling of 200889 in words is "two hundred thousand, eight hundred eighty-nine".