287292 has 24 divisors (see below), whose sum is σ = 680400. Its totient is φ = 94336.

The previous prime is 287291. The next prime is 287297. The reversal of 287292 is 292782.

It is a d-powerful number, because it can be written as 2² + 8² + 2¹³ + 7⁵ + 9² + 2¹⁸ .

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 287292.

It is not an unprimeable number, because it can be changed into a prime (287291) 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, 934 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2²⁸⁷²⁹² is an apocalyptic number.

It is an amenable number.

287292 is an abundant number, since it is smaller than the sum of its proper divisors (393108).

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

287292 is a wasteful number, since it uses less digits than its factorization.

287292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 287292 is about 535.9962686437. The cubic root of 287292 is about 65.9843856543.

The spelling of 287292 in words is "two hundred eighty-seven thousand, two hundred ninety-two".