9972129 has 8 divisors (see below), whose sum is σ = 13655680. Its totient is φ = 6468336.

The previous prime is 9972119. The next prime is 9972139. The reversal of 9972129 is 9212799.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9972119) and next prime (9972139).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9972129 - 2¹⁶ = 9906593 is a prime.

It is a Duffinian number.

It is a Curzon number.

9972129 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9972119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44809 + ... + 45030.

It is an arithmetic number, because the mean of its divisors is an integer number (1706960).

Almost surely, 2^9972129 is an apocalyptic number.

It is an amenable number.

9972129 is a deficient number, since it is larger than the sum of its proper divisors (3683551).

9972129 is a wasteful number, since it uses less digits than its factorization.

9972129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89879.

The product of its digits is 20412, while the sum is 39.

The square root of 9972129 is about 3157.8677933061. The cubic root of 9972129 is about 215.2431286007.

It can be divided in two parts, 9972 and 129, that added together give a palindrome (10101).

The spelling of 9972129 in words is "nine million, nine hundred seventy-two thousand, one hundred twenty-nine".