9506409 has 16 divisors (see below), whose sum is σ = 13891584. Its totient is φ = 5734800.

The previous prime is 9506389. The next prime is 9506437. The reversal of 9506409 is 9046059.

It is a happy number.

It is not a de Polignac number, because 9506409 - 2⁵ = 9506377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

9506409 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9506409.

It is not an unprimeable number, because it can be changed into a prime (9506459) 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, 8412 + ... + 9474.

It is an arithmetic number, because the mean of its divisors is an integer number (868224).

Almost surely, 2^9506409 is an apocalyptic number.

It is an amenable number.

9506409 is a deficient number, since it is larger than the sum of its proper divisors (4385175).

9506409 is a wasteful number, since it uses less digits than its factorization.

9506409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 9506409 is about 3083.2465032819. The cubic root of 9506409 is about 211.8387955124.

The spelling of 9506409 in words is "nine million, five hundred six thousand, four hundred nine".