287541 has 12 divisors (see below), whose sum is σ = 425568. Its totient is φ = 186984.

The previous prime is 287537. The next prime is 287549. The reversal of 287541 is 145782.

It is not a de Polignac number, because 287541 - 2² = 287537 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

287541 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 287541.

It is not an unprimeable number, because it can be changed into a prime (287549) 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, 16 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (35464).

2²⁸⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

287541 is a deficient number, since it is larger than the sum of its proper divisors (138027).

287541 is a wasteful number, since it uses less digits than its factorization.

287541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 789 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 287541 is about 536.2284960723. The cubic root of 287541 is about 66.0034433465.

It can be divided in two parts, 2875 and 41, that added together give a square (2916 = 54²).

The spelling of 287541 in words is "two hundred eighty-seven thousand, five hundred forty-one".