9957129 has 16 divisors (see below), whose sum is σ = 16340352. Its totient is φ = 5251968.

The previous prime is 9957109. The next prime is 9957133. The reversal of 9957129 is 9217599.

It is not a de Polignac number, because 9957129 - 2⁷ = 9957001 is a prime.

9957129 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17964 + ... + 18509.

It is an arithmetic number, because the mean of its divisors is an integer number (1021272).

Almost surely, 2^9957129 is an apocalyptic number.

It is an amenable number.

9957129 is a deficient number, since it is larger than the sum of its proper divisors (6383223).

9957129 is a wasteful number, since it uses less digits than its factorization.

9957129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36496.

The product of its digits is 51030, while the sum is 42.

The square root of 9957129 is about 3155.4918792480. The cubic root of 9957129 is about 215.1351520887.

Subtracting from 9957129 its product of digits (51030), we obtain a palindrome (9906099).

The spelling of 9957129 in words is "nine million, nine hundred fifty-seven thousand, one hundred twenty-nine".