8972127 has 20 divisors (see below), whose sum is σ = 13486176. Its totient is φ = 5944320.

The previous prime is 8972101. The next prime is 8972129. The reversal of 8972127 is 7212798.

It is not a de Polignac number, because 8972127 - 2¹⁶ = 8906591 is a prime.

8972127 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8972091 and 8972100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20602 + ... + 21032.

Almost surely, 2^8972127 is an apocalyptic number.

8972127 is a deficient number, since it is larger than the sum of its proper divisors (4514049).

8972127 is a wasteful number, since it uses less digits than its factorization.

8972127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 691 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 8972127 is about 2995.3508976412. The cubic root of 8972127 is about 207.7934262593.

The spelling of 8972127 in words is "eight million, nine hundred seventy-two thousand, one hundred twenty-seven".