9972945 has 12 divisors (see below), whose sum is σ = 17286516. Its totient is φ = 5318880.

The previous prime is 9972913. The next prime is 9972973. The reversal of 9972945 is 5492799.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 5461569 = 2124^2 + 2337^2 .

It is not a de Polignac number, because 9972945 - 2⁵ = 9972913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 221621 = 9972945 / (9 + 9 + 7 + 2 + 9 + 4 + 5).

It is a d-powerful number, because it can be written as 9² + 9⁴ + 7⁸ + 2⁹ + 9⁴ + 4¹¹ + 5³ .

It is a self number, because there is not a number n which added to its sum of digits gives 9972945.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110766 + ... + 110855.

It is an arithmetic number, because the mean of its divisors is an integer number (1440543).

Almost surely, 2^9972945 is an apocalyptic number.

It is an amenable number.

9972945 is a deficient number, since it is larger than the sum of its proper divisors (7313571).

9972945 is a wasteful number, since it uses less digits than its factorization.

9972945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221632 (or 221629 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 9972945 is about 3157.9969917655. The cubic root of 9972945 is about 215.2489994167.

The spelling of 9972945 in words is "nine million, nine hundred seventy-two thousand, nine hundred forty-five".