9972409 has 8 divisors (see below), whose sum is σ = 10449792. Its totient is φ = 9498720.

The previous prime is 9972401. The next prime is 9972439. The reversal of 9972409 is 9042799.

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

It is a cyclic number.

It is not a de Polignac number, because 9972409 - 2³ = 9972401 is a prime.

It is a Duffinian number.

9972409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9972401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5692 + ... + 7234.

It is an arithmetic number, because the mean of its divisors is an integer number (1306224).

Almost surely, 2^9972409 is an apocalyptic number.

It is an amenable number.

9972409 is a deficient number, since it is larger than the sum of its proper divisors (477383).

9972409 is a wasteful number, since it uses less digits than its factorization.

9972409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847.

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 9972409 is about 3157.9121267065. The cubic root of 9972409 is about 215.2451431325.

The spelling of 9972409 in words is "nine million, nine hundred seventy-two thousand, four hundred nine".