285147 has 16 divisors (see below), whose sum is σ = 432000. Its totient is φ = 185832.

The previous prime is 285139. The next prime is 285151. The reversal of 285147 is 741582.

It is not a de Polignac number, because 285147 - 2³ = 285139 is a prime.

It is a super-4 number, since 4×285147⁴ (a number of 23 digits) contains 4444 as substring.

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

285147 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 285147.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285147.

It is not an unprimeable number, because it can be changed into a prime (275147) 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 15 ways as a sum of consecutive naturals, for example, 1504 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2²⁸⁵¹⁴⁷ is an apocalyptic number.

285147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

285147 is a deficient number, since it is larger than the sum of its proper divisors (146853).

285147 is a wasteful number, since it uses less digits than its factorization.

285147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 285147 is about 533.9915729672. The cubic root of 285147 is about 65.8197561419.

The spelling of 285147 in words is "two hundred eighty-five thousand, one hundred forty-seven".