285930 has 40 divisors (see below), whose sum is σ = 771012. Its totient is φ = 76032.

The previous prime is 285871. The next prime is 285937. The reversal of 285930 is 39582.

It can be written as a sum of positive squares in 2 ways, for example, as 281961 + 3969 = 531^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 285894 and 285903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285930.

It is not an unprimeable number, because it can be changed into a prime (285937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 634 + ... + 986.

2²⁸⁵⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385506).

285930 is an abundant number, since it is smaller than the sum of its proper divisors (485082).

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

285930 is a wasteful number, since it uses less digits than its factorization.

285930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 285930 is about 534.7242279905. The cubic root of 285930 is about 65.8799470472.

The spelling of 285930 in words is "two hundred eighty-five thousand, nine hundred thirty".