283764 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 81408.

The previous prime is 283763. The next prime is 283769. The reversal of 283764 is 467382.

283764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (8064) is a multiple of the sum of its prime factors (144).

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 283764.

It is not an unprimeable number, because it can be changed into a prime (283763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2599 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2²⁸³⁷⁶⁴ 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 283764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

283764 is an abundant number, since it is smaller than the sum of its proper divisors (478284).

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

283764 is a wasteful number, since it uses less digits than its factorization.

283764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 283764 is about 532.6950347056. The cubic root of 283764 is about 65.7131721838.

The spelling of 283764 in words is "two hundred eighty-three thousand, seven hundred sixty-four".