267852 has 48 divisors (see below), whose sum is σ = 719712. Its totient is φ = 76800.

The previous prime is 267833. The next prime is 267857. The reversal of 267852 is 258762.

It is a d-powerful number, because it can be written as 2⁸ + 6⁴ + 8⁶ + 7 + 5⁵ + 2¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (267857) by changing a digit.

267852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2602 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (14994).

2²⁶⁷⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856).

267852 is an abundant number, since it is smaller than the sum of its proper divisors (451860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

267852 is a wasteful number, since it uses less digits than its factorization.

267852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 267852 is about 517.5442010109. The cubic root of 267852 is about 64.4611869126.

The spelling of 267852 in words is "two hundred sixty-seven thousand, eight hundred fifty-two".