284634 has 40 divisors (see below), whose sum is σ = 731808. Its totient is φ = 81000.

The previous prime is 284633. The next prime is 284651. The reversal of 284634 is 436482.

284634 = 87² + 88² + ... + 114².

284634 is a `hidden beast` number, since 28 + 4 + 634 = 666.

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 = 284598 and 284607.

It is not an unprimeable number, because it can be changed into a prime (284633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1009 + ... + 1259.

2²⁸⁴⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904).

284634 is an abundant number, since it is smaller than the sum of its proper divisors (447174).

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

284634 is a wasteful number, since it uses less digits than its factorization.

284634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 284634 is about 533.5110120700. The cubic root of 284634 is about 65.7802609528.

The spelling of 284634 in words is "two hundred eighty-four thousand, six hundred thirty-four".