283152 has 40 divisors (see below), whose sum is σ = 776736. Its totient is φ = 88576.

The previous prime is 283139. The next prime is 283159. The reversal of 283152 is 251382.

It is not an unprimeable number, because it can be changed into a prime (283159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643 + ... + 989.

2²⁸³¹⁵² 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 283152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388368).

283152 is an abundant number, since it is smaller than the sum of its proper divisors (493584).

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

283152 is a wasteful number, since it uses less digits than its factorization.

283152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 283152 is about 532.1202871532. The cubic root of 283152 is about 65.6658965041.

It can be divided in two parts, 283 and 152, that added together give a triangular number (435 = T₂₉).

The spelling of 283152 in words is "two hundred eighty-three thousand, one hundred fifty-two".