284264 has 8 divisors (see below), whose sum is σ = 533010. Its totient is φ = 142128.

The previous prime is 284261. The next prime is 284267. The reversal of 284264 is 462482.

It is an interprime number because it is at equal distance from previous prime (284261) and next prime (284267).

It can be written as a sum of positive squares in only one way, i.e., 280900 + 3364 = 530^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 2¹¹ + 8 + 2¹³ + 4⁶ + 6⁵ + 4⁹ .

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284264.

It is not an unprimeable number, because it can be changed into a prime (284261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17759 + ... + 17774.

2²⁸⁴²⁶⁴ is an apocalyptic number.

It is an amenable number.

284264 is a deficient number, since it is larger than the sum of its proper divisors (248746).

284264 is a wasteful number, since it uses less digits than its factorization.

284264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35539 (or 35535 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 284264 is about 533.1641398294. The cubic root of 284264 is about 65.7517456779.

The spelling of 284264 in words is "two hundred eighty-four thousand, two hundred sixty-four".