289712900 has 36 divisors (see below), whose sum is σ = 650362020. Its totient is φ = 111888000.

The previous prime is 289712881. The next prime is 289712933. The reversal of 289712900 is 9217982.

289712900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9351364 + 280361536 = 3058^2 + 16744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47051 + ... + 52850.

Almost surely, 2^289712900 is an apocalyptic number.

289712900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289712900 is an abundant number, since it is smaller than the sum of its proper divisors (360649120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289712900 is a wasteful number, since it uses less digits than its factorization.

289712900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99944 (or 99937 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 289712900 is about 17020.9547323292. The cubic root of 289712900 is about 661.6920921846.

The spelling of 289712900 in words is "two hundred eighty-nine million, seven hundred twelve thousand, nine hundred".