9917964 has 60 divisors (see below), whose sum is σ = 29638224. Its totient is φ = 2833056.

The previous prime is 9917939. The next prime is 9917969. The reversal of 9917964 is 4697199.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9917969) 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 19 ways as a sum of consecutive naturals, for example, 82 + ... + 4454.

Almost surely, 2^9917964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819112).

9917964 is an abundant number, since it is smaller than the sum of its proper divisors (19720260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9917964 is a wasteful number, since it uses less digits than its factorization.

9917964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4385 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 9917964 is about 3149.2799176955. The cubic root of 9917964 is about 214.8527132573.

The spelling of 9917964 in words is "nine million, nine hundred seventeen thousand, nine hundred sixty-four".