2687967 has 12 divisors (see below), whose sum is σ = 3923920. Its totient is φ = 1772928.

The previous prime is 2687957. The next prime is 2687969. The reversal of 2687967 is 7697862.

It is a happy number.

It is not a de Polignac number, because 2687967 - 2¹⁴ = 2671583 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 6⁶ + 8³ + 7 + 9⁴ + 6⁸ + 7⁷ .

It is a Duffinian number.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667 + ... + 2412.

2^2687967 is an apocalyptic number.

2687967 is a deficient number, since it is larger than the sum of its proper divisors (1235953).

2687967 is a wasteful number, since it uses less digits than its factorization.

2687967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3179 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2687967 is about 1639.5020585531. The cubic root of 2687967 is about 139.0404968007.

The spelling of 2687967 in words is "two million, six hundred eighty-seven thousand, nine hundred sixty-seven".