284007 has 8 divisors (see below), whose sum is σ = 388080. Its totient is φ = 184640.

The previous prime is 284003. The next prime is 284023. The reversal of 284007 is 700482.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 284007 - 2² = 284003 is a prime.

284007 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2²⁸⁴⁰⁰⁷ is an apocalyptic number.

284007 is a deficient number, since it is larger than the sum of its proper divisors (104073).

284007 is a wasteful number, since it uses less digits than its factorization.

284007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 284007 is about 532.9230713715. The cubic root of 284007 is about 65.7319245566.

Adding to 284007 its reverse (700482), we get a palindrome (984489).

The spelling of 284007 in words is "two hundred eighty-four thousand, seven".