287901 has 8 divisors (see below), whose sum is σ = 426560. Its totient is φ = 191916.

The previous prime is 287887. The next prime is 287921. The reversal of 287901 is 109782.

It is not a de Polignac number, because 287901 - 2¹³ = 279709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 10663 = 287901 / (2 + 8 + 7 + 9 + 0 + 1).

It is a Duffinian number.

287901 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287901.

It is not an unprimeable number, because it can be changed into a prime (287921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5305 + ... + 5358.

It is an arithmetic number, because the mean of its divisors is an integer number (53320).

2²⁸⁷⁹⁰¹ is an apocalyptic number.

It is an amenable number.

287901 is a deficient number, since it is larger than the sum of its proper divisors (138659).

287901 is a wasteful number, since it uses less digits than its factorization.

287901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 287901 is about 536.5640688678. The cubic root of 287901 is about 66.0309771941.

The spelling of 287901 in words is "two hundred eighty-seven thousand, nine hundred one".