289684625 has 32 divisors (see below), whose sum is σ = 377114400. Its totient is φ = 221894400.

The previous prime is 289684601. The next prime is 289684663. The reversal of 289684625 is 526486982.

It can be written as a sum of positive squares in 16 ways, for example, as 184334929 + 105349696 = 13577^2 + 10264^2 .

It is not a de Polignac number, because 289684625 - 2⁶ = 289684561 is a prime.

It is a super-2 number, since 2×289684625² = 167834363922781250, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 568871 + ... + 569379.

It is an arithmetic number, because the mean of its divisors is an integer number (11784825).

Almost surely, 2^289684625 is an apocalyptic number.

289684625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289684625 is a deficient number, since it is larger than the sum of its proper divisors (87429775).

289684625 is a wasteful number, since it uses less digits than its factorization.

289684625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 289684625 is about 17020.1241182313. The cubic root of 289684625 is about 661.6705651802.

The spelling of 289684625 in words is "two hundred eighty-nine million, six hundred eighty-four thousand, six hundred twenty-five".