8972 has 6 divisors (see below), whose sum is σ = 15708. Its totient is φ = 4484.

The previous prime is 8971. The next prime is 8999. The reversal of 8972 is 2798.

It is a d-powerful number, because it can be written as 8 + 7⁴ + 9⁴ + 2 .

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8972.

It is not an unprimeable number, because it can be changed into a prime (8971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1118 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (2618).

2⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

8972 is a deficient number, since it is larger than the sum of its proper divisors (6736).

8972 is a wasteful number, since it uses less digits than its factorization.

8972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2245 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 8972 is about 94.7206418897. The cubic root of 8972 is about 20.7792445820.

Adding to 8972 its sum of digits (26), we get a palindrome (8998).

It can be divided in two parts, 89 and 72, that added together give a palindrome (161).

The spelling of 8972 in words is "eight thousand, nine hundred seventy-two".