289037825 has 24 divisors (see below), whose sum is σ = 385745400. Its totient is φ = 214041600.

The previous prime is 289037783. The next prime is 289037869. The reversal of 289037825 is 528730982.

289037825 = 1926² + 1927² + ... + 2000².

It can be written as a sum of positive squares in 12 ways, for example, as 145709041 + 143328784 = 12071^2 + 11972^2 .

It is not a de Polignac number, because 289037825 - 2¹⁴ = 289021441 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20351 + ... + 31499.

It is an arithmetic number, because the mean of its divisors is an integer number (16072725).

Almost surely, 2^289037825 is an apocalyptic number.

289037825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289037825 is a deficient number, since it is larger than the sum of its proper divisors (96707575).

289037825 is a wasteful number, since it uses less digits than its factorization.

289037825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 289037825 is about 17001.1124636007. The cubic root of 289037825 is about 661.1777448288.

The spelling of 289037825 in words is "two hundred eighty-nine million, thirty-seven thousand, eight hundred twenty-five".