9972965 has 8 divisors (see below), whose sum is σ = 12671640. Its totient is φ = 7508992.

The previous prime is 9972913. The next prime is 9972973. The reversal of 9972965 is 5692799.

Added to its reverse (5692799) it gives a square (15665764 = 3958²).

9972965 = T₂₅₄ + T₂₅₅ + ... + T₄₂₃.

It is a Cunningham number, because it is equal to 3158²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 232324 + 9740641 = 482^2 + 3121^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9972965 - 2¹⁸ = 9710821 is a prime.

It is a congruent number.

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, 58580 + ... + 58749.

It is an arithmetic number, because the mean of its divisors is an integer number (1583955).

Almost surely, 2^9972965 is an apocalyptic number.

It is an amenable number.

9972965 is a deficient number, since it is larger than the sum of its proper divisors (2698675).

9972965 is a wasteful number, since it uses less digits than its factorization.

9972965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117351.

The product of its digits is 306180, while the sum is 47.

The square root of 9972965 is about 3158.0001583281. Note that the first 3 decimals coincide. The cubic root of 9972965 is about 215.2491433052.

Adding to 9972965 its reverse (5692799), we get a square (15665764 = 3958²).

The spelling of 9972965 in words is "nine million, nine hundred seventy-two thousand, nine hundred sixty-five".