9777642 has 16 divisors (see below), whose sum is σ = 22348992. Its totient is φ = 2793600.

The previous prime is 9777637. The next prime is 9777653. The reversal of 9777642 is 2467779.

9777642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 232801 = 9777642 / (9 + 7 + 7 + 7 + 6 + 4 + 2).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9777594 and 9777603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116359 + ... + 116442.

It is an arithmetic number, because the mean of its divisors is an integer number (1396812).

Almost surely, 2^9777642 is an apocalyptic number.

9777642 is an abundant number, since it is smaller than the sum of its proper divisors (12571350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9777642 is a wasteful number, since it uses less digits than its factorization.

9777642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232813.

The product of its digits is 148176, while the sum is 42.

The square root of 9777642 is about 3126.9221288673. The cubic root of 9777642 is about 213.8346321954.

Subtracting from 9777642 its product of digits (148176), we obtain a triangular number (9629466 = T₄₃₈₈).

The spelling of 9777642 in words is "nine million, seven hundred seventy-seven thousand, six hundred forty-two".