286964 has 6 divisors (see below), whose sum is σ = 502194. Its totient is φ = 143480.

The previous prime is 286927. The next prime is 286973. The reversal of 286964 is 469682.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 28900 = 508^2 + 170^2 .

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 286964.

It is an unprimeable number.

286964 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 as a sum of consecutive naturals, namely, 35867 + ... + 35874.

It is an arithmetic number, because the mean of its divisors is an integer number (83699).

2²⁸⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

286964 is a deficient number, since it is larger than the sum of its proper divisors (215230).

286964 is a wasteful number, since it uses less digits than its factorization.

286964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71745 (or 71743 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 286964 is about 535.6902089828. The cubic root of 286964 is about 65.9592647317.

The spelling of 286964 in words is "two hundred eighty-six thousand, nine hundred sixty-four".