2587965 has 16 divisors (see below), whose sum is σ = 4253568. Its totient is φ = 1342656.

The previous prime is 2587957. The next prime is 2587967. The reversal of 2587965 is 5697852.

It is not a de Polignac number, because 2587965 - 2³ = 2587957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1777 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (265848).

2^2587965 is an apocalyptic number.

It is an amenable number.

2587965 is a deficient number, since it is larger than the sum of its proper divisors (1665603).

2587965 is a wasteful number, since it uses less digits than its factorization.

2587965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708.

The product of its digits is 151200, while the sum is 42.

The square root of 2587965 is about 1608.7153259667. The cubic root of 2587965 is about 137.2943924270.

It can be divided in two parts, 25 and 87965, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 2587965 in words is "two million, five hundred eighty-seven thousand, nine hundred sixty-five".