9972165 has 32 divisors (see below), whose sum is σ = 18498816. Its totient is φ = 4492800.

The previous prime is 9972161. The next prime is 9972187. The reversal of 9972165 is 5612799.

9972165 = 333² + 334² + ... + 405².

It is not a de Polignac number, because 9972165 - 2² = 9972161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7015 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (578088).

Almost surely, 2^9972165 is an apocalyptic number.

It is an amenable number.

9972165 is a deficient number, since it is larger than the sum of its proper divisors (8526651).

9972165 is a wasteful number, since it uses less digits than its factorization.

9972165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389.

The product of its digits is 34020, while the sum is 39.

The square root of 9972165 is about 3157.8734933496. The cubic root of 9972165 is about 215.2433876140.

The spelling of 9972165 in words is "nine million, nine hundred seventy-two thousand, one hundred sixty-five".