289910925 has 36 divisors (see below), whose sum is σ = 520184340. Its totient is φ = 154344960.

The previous prime is 289910923. The next prime is 289910953. The reversal of 289910925 is 529019982.

It can be written as a sum of positive squares in 6 ways, for example, as 7469289 + 282441636 = 2733^2 + 16806^2 .

It is not a de Polignac number, because 289910925 - 2¹ = 289910923 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289910921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226387 + ... + 227663.

It is an arithmetic number, because the mean of its divisors is an integer number (14449565).

Almost surely, 2^289910925 is an apocalyptic number.

289910925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289910925 is a deficient number, since it is larger than the sum of its proper divisors (230273415).

289910925 is a wasteful number, since it uses less digits than its factorization.

289910925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 289910925 is about 17026.7708330147. The cubic root of 289910925 is about 661.8428181085.

It can be divided in two parts, 2899 and 10925, that added together give a cube (13824 = 24³).

The spelling of 289910925 in words is "two hundred eighty-nine million, nine hundred ten thousand, nine hundred twenty-five".