286962 has 24 divisors (see below), whose sum is σ = 623664. Its totient is φ = 87984.

The previous prime is 286927. The next prime is 286973. The reversal of 286962 is 269682.

286962 is a modest number, since divided by 962 gives 286 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286962.

It is an unprimeable number.

286962 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 11 ways as a sum of consecutive naturals, for example, 873 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (25986).

2²⁸⁶⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311832).

286962 is an abundant number, since it is smaller than the sum of its proper divisors (336702).

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

286962 is a wasteful number, since it uses less digits than its factorization.

286962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 286962 is about 535.6883422289. The cubic root of 286962 is about 65.9591114966.

The spelling of 286962 in words is "two hundred eighty-six thousand, nine hundred sixty-two".