287667 has 6 divisors (see below), whose sum is σ = 415532. Its totient is φ = 191772.

The previous prime is 287629. The next prime is 287669. The reversal of 287667 is 766782.

It is not a de Polignac number, because 287667 - 2¹² = 283571 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287667.

It is not an unprimeable number, because it can be changed into a prime (287669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15973 + ... + 15990.

2²⁸⁷⁶⁶⁷ is an apocalyptic number.

287667 is a deficient number, since it is larger than the sum of its proper divisors (127865).

287667 is a wasteful number, since it uses less digits than its factorization.

287667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31969 (or 31966 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 287667 is about 536.3459704333. The cubic root of 287667 is about 66.0130828059.

The spelling of 287667 in words is "two hundred eighty-seven thousand, six hundred sixty-seven".