867972 has 24 divisors (see below), whose sum is σ = 2314816. Its totient is φ = 247968.

The previous prime is 867959. The next prime is 867991. The reversal of 867972 is 279768.

867972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 867972.

It is an unprimeable number.

867972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5083 + ... + 5250.

2⁸⁶⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

867972 is an abundant number, since it is smaller than the sum of its proper divisors (1446844).

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

867972 is a wasteful number, since it uses less digits than its factorization.

867972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10345 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 867972 is about 931.6501489293. The cubic root of 867972 is about 95.3897927364.

It can be divided in two parts, 867 and 972, that multiplied together give a square (842724 = 918²).

The spelling of 867972 in words is "eight hundred sixty-seven thousand, nine hundred seventy-two".