2687965 has 16 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 1811520.

The previous prime is 2687957. The next prime is 2687969. The reversal of 2687965 is 5697862.

2687965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2687965 - 2³ = 2687957 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 6⁶ + 8³ + 7⁷ + 9⁴ + 6⁸ + 5 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506 + ... + 2764.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

2^2687965 is an apocalyptic number.

It is an amenable number.

2687965 is a deficient number, since it is larger than the sum of its proper divisors (1061795).

2687965 is a wasteful number, since it uses less digits than its factorization.

2687965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332.

The product of its digits is 181440, while the sum is 43.

The square root of 2687965 is about 1639.5014486117. The cubic root of 2687965 is about 139.0404623160.

It can be divided in two parts, 268796 and 5, that multiplied together give a triangular number (1343980 = T₁₆₃₉).

The spelling of 2687965 in words is "two million, six hundred eighty-seven thousand, nine hundred sixty-five".