2089305 has 24 divisors (see below), whose sum is σ = 3748680. Its totient is φ = 1075200.

The previous prime is 2089303. The next prime is 2089357. The reversal of 2089305 is 5039802.

2089305 = T₃₆₅ + T₃₆₆ + ... + T₃₉₃.

It can be written as a sum of positive squares in 4 ways, for example, as 870489 + 1218816 = 933^2 + 1104^2 .

It is not a de Polignac number, because 2089305 - 2¹ = 2089303 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2089303) 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 23 ways as a sum of consecutive naturals, for example, 505 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (156195).

2^2089305 is an apocalyptic number.

It is an amenable number.

2089305 is a deficient number, since it is larger than the sum of its proper divisors (1659375).

2089305 is a wasteful number, since it uses less digits than its factorization.

2089305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2089305 is about 1445.4428387176. The cubic root of 2089305 is about 127.8401528413.

The spelling of 2089305 in words is "two million, eighty-nine thousand, three hundred five".