9720767 has 12 divisors (see below), whose sum is σ = 11363976. Its totient is φ = 8290800.

The previous prime is 9720757. The next prime is 9720769. The reversal of 9720767 is 7670279.

9720767 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9720767 - 2¹⁸ = 9458623 is a prime.

It is a super-2 number, since 2×9720767² = 188986622136578, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9720767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9720769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13517 + ... + 14217.

It is an arithmetic number, because the mean of its divisors is an integer number (946998).

Almost surely, 2^9720767 is an apocalyptic number.

9720767 is a deficient number, since it is larger than the sum of its proper divisors (1643209).

9720767 is a wasteful number, since it uses less digits than its factorization.

9720767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 9720767 is about 3117.8144588798. The cubic root of 9720767 is about 213.4192115727.

The spelling of 9720767 in words is "nine million, seven hundred twenty thousand, seven hundred sixty-seven".