243089 has 18 divisors (see below), whose sum is σ = 318402. Its totient is φ = 184800.

The previous prime is 243077. The next prime is 243091. The reversal of 243089 is 980342.

243089 = 45² + 46² + ... + 93².

It can be written as a sum of positive squares in only one way, i.e., 148225 + 94864 = 385^2 + 308^2 .

It is not a de Polignac number, because 243089 - 2⁴ = 243073 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243589) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5909 + ... + 5949.

It is an arithmetic number, because the mean of its divisors is an integer number (17689).

2²⁴³⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

243089 is a deficient number, since it is larger than the sum of its proper divisors (75313).

243089 is a wasteful number, since it uses less digits than its factorization.

243089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 243089 is about 493.0405662823. The cubic root of 243089 is about 62.4101321757.

It can be divided in two parts, 24 and 3089, that added together give a palindrome (3113).

The spelling of 243089 in words is "two hundred forty-three thousand, eighty-nine".