9968127 has 12 divisors (see below), whose sum is σ = 14392584. Its totient is φ = 6133920.

The previous prime is 9968117. The next prime is 9968129. The reversal of 9968127 is 7218699.

It is not a de Polignac number, because 9968127 - 2¹⁰ = 9967103 is a prime.

9968127 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9324 + ... + 10337.

It is an arithmetic number, because the mean of its divisors is an integer number (1199382).

Almost surely, 2^9968127 is an apocalyptic number.

9968127 is a deficient number, since it is larger than the sum of its proper divisors (4424457).

9968127 is a wasteful number, since it uses less digits than its factorization.

9968127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19690 (or 19677 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 9968127 is about 3157.2340743125. The cubic root of 9968127 is about 215.2143310638.

It can be divided in two parts, 9 and 968127, that added together give a triangular number (968136 = T₁₃₉₁).

The spelling of 9968127 in words is "nine million, nine hundred sixty-eight thousand, one hundred twenty-seven".