286972 has 24 divisors (see below), whose sum is σ = 591584. Its totient is φ = 119232.

The previous prime is 286927. The next prime is 286973. The reversal of 286972 is 279682.

286972 is nontrivially palindromic in base 13.

It is a d-powerful number, because it can be written as 2² + 8² + 9⁴ + 6⁷ + 7³ + 2⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286973) 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, 898 + ... + 1174.

2²⁸⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295792).

286972 is an abundant number, since it is smaller than the sum of its proper divisors (304612).

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

286972 is a wasteful number, since it uses less digits than its factorization.

286972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 286972 is about 535.6976759330. The cubic root of 286972 is about 65.9598776648.

The spelling of 286972 in words is "two hundred eighty-six thousand, nine hundred seventy-two".