361287 has 8 divisors (see below), whose sum is σ = 535280. Its totient is φ = 240840.

The previous prime is 361279. The next prime is 361313. The reversal of 361287 is 782163.

It is not a de Polignac number, because 361287 - 2³ = 361279 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: 13381 = 361287 / (3 + 6 + 1 + 2 + 8 + 7).

It is a Duffinian number.

361287 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 361287.

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 361287.

It is not an unprimeable number, because it can be changed into a prime (361217) 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, 6664 + ... + 6717.

It is an arithmetic number, because the mean of its divisors is an integer number (66910).

2³⁶¹²⁸⁷ is an apocalyptic number.

361287 is a deficient number, since it is larger than the sum of its proper divisors (173993).

361287 is a wasteful number, since it uses less digits than its factorization.

361287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 13384 counting only the distinct ones).

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

The square root of 361287 is about 601.0715431627. The cubic root of 361287 is about 71.2225378930. Note that the first 3 decimals are identical.

The spelling of 361287 in words is "three hundred sixty-one thousand, two hundred eighty-seven".