9958905 has 72 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 4593600.

The previous prime is 9958901. The next prime is 9958913. The reversal of 9958905 is 5098599.

It is not a de Polignac number, because 9958905 - 2² = 9958901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

9958905 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9958901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168766 + ... + 168824.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 2^9958905 is an apocalyptic number.

It is an amenable number.

9958905 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

9958905 is a wasteful number, since it uses less digits than its factorization.

9958905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 9958905 is about 3155.7732808299. The cubic root of 9958905 is about 215.1479421649.

The spelling of 9958905 in words is "nine million, nine hundred fifty-eight thousand, nine hundred five".