9972767 has 4 divisors (see below), whose sum is σ = 11397456. Its totient is φ = 8548080.

The previous prime is 9972757. The next prime is 9972773. The reversal of 9972767 is 7672799.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 9972767 - 2¹⁴ = 9956383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972757) 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 in 3 ways as a sum of consecutive naturals, for example, 712334 + ... + 712347.

It is an arithmetic number, because the mean of its divisors is an integer number (2849364).

Almost surely, 2^9972767 is an apocalyptic number.

9972767 is a deficient number, since it is larger than the sum of its proper divisors (1424689).

9972767 is a wasteful number, since it uses less digits than its factorization.

9972767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424688.

The product of its digits is 333396, while the sum is 47.

The square root of 9972767 is about 3157.9688092190. The cubic root of 9972767 is about 215.2477188003.

Subtracting from 9972767 its reverse (7672799), we obtain a cube (2299968 = 132³).

The spelling of 9972767 in words is "nine million, nine hundred seventy-two thousand, seven hundred sixty-seven".