267972 has 24 divisors (see below), whose sum is σ = 633696. Its totient is φ = 88128.

The previous prime is 267961. The next prime is 268003. The reversal of 267972 is 279762.

267972 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

267972 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 7 ways as a sum of consecutive naturals, for example, 1563 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (26404).

2²⁶⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

267972 is an abundant number, since it is smaller than the sum of its proper divisors (365724).

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

267972 is a wasteful number, since it uses less digits than its factorization.

267972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 267972 is about 517.6601201561. The cubic root of 267972 is about 64.4708118641.

The spelling of 267972 in words is "two hundred sixty-seven thousand, nine hundred seventy-two".