84267 has 8 divisors (see below), whose sum is σ = 124880. Its totient is φ = 56160.

The previous prime is 84263. The next prime is 84299. The reversal of 84267 is 76248.

It is not a de Polignac number, because 84267 - 2² = 84263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3121 = 84267 / (8 + 4 + 2 + 6 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84267.

It is not an unprimeable number, because it can be changed into a prime (84263) 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, 1534 + ... + 1587.

It is an arithmetic number, because the mean of its divisors is an integer number (15610).

2⁸⁴²⁶⁷ is an apocalyptic number.

84267 is a deficient number, since it is larger than the sum of its proper divisors (40613).

84267 is a wasteful number, since it uses less digits than its factorization.

84267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3124 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 84267 is about 290.2877882378. The cubic root of 84267 is about 43.8415443695.

It can be divided in two parts, 842 and 67, that added together give a palindrome (909).

The spelling of 84267 in words is "eighty-four thousand, two hundred sixty-seven".