284641 has 12 divisors (see below), whose sum is σ = 342228. Its totient is φ = 235872.

The previous prime is 284633. The next prime is 284651. The reversal of 284641 is 146482.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 108241 = 420^2 + 329^2 .

It is not a de Polignac number, because 284641 - 2³ = 284633 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 8³ + 6⁷ + 4³ + 4⁶ + 1 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1735 + ... + 1891.

It is an arithmetic number, because the mean of its divisors is an integer number (28519).

2²⁸⁴⁶⁴¹ is an apocalyptic number.

It is an amenable number.

284641 is a deficient number, since it is larger than the sum of its proper divisors (57587).

284641 is a wasteful number, since it uses less digits than its factorization.

284641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 284641 is about 533.5175723442. The cubic root of 284641 is about 65.7808001927.

The spelling of 284641 in words is "two hundred eighty-four thousand, six hundred forty-one".