9972569 has 2 divisors, whose sum is σ = 9972570. Its totient is φ = 9972568.

The previous prime is 9972559. The next prime is 9972577. The reversal of 9972569 is 9652799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6864400 + 3108169 = 2620^2 + 1763^2 .

It is a cyclic number.

It is not a de Polignac number, because 9972569 - 2¹² = 9968473 is a prime.

It is a super-2 number, since 2×9972569² = 198904264919522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 9³ + 9⁷ + 7⁶ + 2¹³ + 5³ + 6⁷ + 9⁷ .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9972509) by changing a digit.

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 as a sum of consecutive naturals, namely, 4986284 + 4986285.

It is an arithmetic number, because the mean of its divisors is an integer number (4986285).

Almost surely, 2^9972569 is an apocalyptic number.

It is an amenable number.

9972569 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972569 is an equidigital number, since it uses as much as digits as its factorization.

9972569 is an odious number, because the sum of its binary digits is odd.

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

The square root of 9972569 is about 3157.9374597987. The cubic root of 9972569 is about 215.2462942765.

The spelling of 9972569 in words is "nine million, nine hundred seventy-two thousand, five hundred sixty-nine".