283296 has 48 divisors (see below), whose sum is σ = 804384. Its totient is φ = 86784.

The previous prime is 283289. The next prime is 283303. The reversal of 283296 is 692382.

It is an interprime number because it is at equal distance from previous prime (283289) and next prime (283303).

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2² + 8² + 2¹⁰ + 3⁷ + 9² + 6⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2²⁸³²⁹⁶ is an apocalyptic number.

283296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402192).

283296 is an abundant number, since it is smaller than the sum of its proper divisors (521088).

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

283296 is a wasteful number, since it uses less digits than its factorization.

283296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 283296 is about 532.2555777068. The cubic root of 283296 is about 65.6770263173.

The spelling of 283296 in words is "two hundred eighty-three thousand, two hundred ninety-six".