9996777 has 32 divisors (see below), whose sum is σ = 17160960. Its totient is φ = 5703696.

The previous prime is 9996757. The next prime is 9996781. The reversal of 9996777 is 7776999.

It is not a de Polignac number, because 9996777 - 2¹² = 9992681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9996737) 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 31 ways as a sum of consecutive naturals, for example, 14983 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (536280).

Almost surely, 2^9996777 is an apocalyptic number.

It is an amenable number.

9996777 is a deficient number, since it is larger than the sum of its proper divisors (7164183).

9996777 is an frugal number, since it uses more digits than its factorization.

9996777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 663 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 54.

The square root of 9996777 is about 3161.7680180557. The cubic root of 9996777 is about 215.4203207061.

It can be divided in two parts, 999 and 6777, that added together give a 5-th power (7776 = 6⁵).

The spelling of 9996777 in words is "nine million, nine hundred ninety-six thousand, seven hundred seventy-seven".