287361 has 16 divisors (see below), whose sum is σ = 441600. Its totient is φ = 184464.

The previous prime is 287347. The next prime is 287383. The reversal of 287361 is 163782.

It is not a de Polignac number, because 287361 - 2⁶ = 287297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2⁹ + 8 + 3⁸ + 7³ + 6⁷ + 1 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (287321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (27600).

2²⁸⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

287361 is a deficient number, since it is larger than the sum of its proper divisors (154239).

287361 is a wasteful number, since it uses less digits than its factorization.

287361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 287361 is about 536.0606308992. The cubic root of 287361 is about 65.9896678041.

The spelling of 287361 in words is "two hundred eighty-seven thousand, three hundred sixty-one".