872289 has 30 divisors (see below), whose sum is σ = 1448370. Its totient is φ = 522720.

The previous prime is 872281. The next prime is 872317. The reversal of 872289 is 982278.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 245025 = 792^2 + 495^2 .

It is not a de Polignac number, because 872289 - 2³ = 872281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (872281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9757 + ... + 9845.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

2⁸⁷²²⁸⁹ is an apocalyptic number.

872289 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

872289 is a deficient number, since it is larger than the sum of its proper divisors (576081).

872289 is a wasteful number, since it uses less digits than its factorization.

872289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 872289 is about 933.9641320736. The cubic root of 872289 is about 95.5476768237.

The spelling of 872289 in words is "eight hundred seventy-two thousand, two hundred eighty-nine".