2801209 has 8 divisors (see below), whose sum is σ = 3022920. Its totient is φ = 2585856.

The previous prime is 2801179. The next prime is 2801219. The reversal of 2801209 is 9021082.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 2205225 = 772^2 + 1485^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2801209 - 2¹³ = 2793017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2801209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801219) 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 7 ways as a sum of consecutive naturals, for example, 654 + ... + 2455.

It is an arithmetic number, because the mean of its divisors is an integer number (377865).

2^2801209 is an apocalyptic number.

It is an amenable number.

2801209 is a deficient number, since it is larger than the sum of its proper divisors (221711).

2801209 is a wasteful number, since it uses less digits than its factorization.

2801209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2801209 is about 1673.6812719272. The cubic root of 2801209 is about 140.9662578750.

The spelling of 2801209 in words is "two million, eight hundred one thousand, two hundred nine".