286146 has 32 divisors (see below), whose sum is σ = 727680. Its totient is φ = 81648.

The previous prime is 286129. The next prime is 286163. The reversal of 286146 is 641682.

286146 is a nontrivial binomial coefficient, being equal to C(757, 2).

It is an interprime number because it is at equal distance from previous prime (286129) and next prime (286163).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286146.

It is an unprimeable number.

286146 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (22740).

2²⁸⁶¹⁴⁶ is an apocalyptic number.

286146 is the 756-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363840).

286146 is an abundant number, since it is smaller than the sum of its proper divisors (441534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286146 is a wasteful number, since it uses less digits than its factorization.

286146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 286146 is about 534.9261631291. The cubic root of 286146 is about 65.8965320935.

The spelling of 286146 in words is "two hundred eighty-six thousand, one hundred forty-six".