289850625 has 45 divisors (see below), whose sum is σ = 525488821. Its totient is φ = 153906000.

The previous prime is 289850611. The next prime is 289850641. The reversal of 289850625 is 526058982.

The square root of 289850625 is 17025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 22724289 + 267126336 = 4767^2 + 16344^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 289850625 - 2¹⁹ = 289326337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1276762 + ... + 1276988.

Almost surely, 2^289850625 is an apocalyptic number.

289850625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

289850625 is the 17025-th square number.

289850625 is the 8513-rd centered octagonal number.

It is an amenable number.

289850625 is a deficient number, since it is larger than the sum of its proper divisors (235638196).

289850625 is an frugal number, since it uses more digits than its factorization.

289850625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The cubic root of 289850625 is about 661.7969282785.

The spelling of 289850625 in words is "two hundred eighty-nine million, eight hundred fifty thousand, six hundred twenty-five".