9965540 has 24 divisors (see below), whose sum is σ = 22538040. Its totient is φ = 3679488.

The previous prime is 9965533. The next prime is 9965573. The reversal of 9965540 is 455699.

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 9834496 = 362^2 + 3136^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9965494 and 9965503.

It is an unprimeable number.

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, 18905 + ... + 19424.

It is an arithmetic number, because the mean of its divisors is an integer number (939085).

Almost surely, 2^9965540 is an apocalyptic number.

It is an amenable number.

9965540 is an abundant number, since it is smaller than the sum of its proper divisors (12572500).

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

9965540 is a wasteful number, since it uses less digits than its factorization.

9965540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38351 (or 38349 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 9965540 is about 3156.8243536820. The cubic root of 9965540 is about 215.1957114627.

The spelling of 9965540 in words is "nine million, nine hundred sixty-five thousand, five hundred forty".