9952965 has 24 divisors (see below), whose sum is σ = 18821088. Its totient is φ = 4825440.

The previous prime is 9952961. The next prime is 9952967. The reversal of 9952965 is 5692599.

It is not a de Polignac number, because 9952965 - 2² = 9952961 is a prime.

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

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 9952965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9559 + ... + 10548.

It is an arithmetic number, because the mean of its divisors is an integer number (784212).

Almost surely, 2^9952965 is an apocalyptic number.

It is an amenable number.

9952965 is a deficient number, since it is larger than the sum of its proper divisors (8868123).

9952965 is a wasteful number, since it uses less digits than its factorization.

9952965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20129 (or 20126 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 9952965 is about 3154.8320082058. The cubic root of 9952965 is about 215.1051585810.

The spelling of 9952965 in words is "nine million, nine hundred fifty-two thousand, nine hundred sixty-five".