2887965 has 24 divisors (see below), whose sum is σ = 5180760. Its totient is φ = 1486464.

The previous prime is 2887939. The next prime is 2887979. The reversal of 2887965 is 5697882.

It can be written as a sum of positive squares in 4 ways, for example, as 1153476 + 1734489 = 1074^2 + 1317^2 .

It is not a de Polignac number, because 2887965 - 2⁵ = 2887933 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2887965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (215865).

2^2887965 is an apocalyptic number.

It is an amenable number.

2887965 is a deficient number, since it is larger than the sum of its proper divisors (2292795).

2887965 is a wasteful number, since it uses less digits than its factorization.

2887965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2250 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2887965 is about 1699.4013651872. The cubic root of 2887965 is about 142.4067718921.

The spelling of 2887965 in words is "two million, eight hundred eighty-seven thousand, nine hundred sixty-five".