9677641 has 16 divisors (see below), whose sum is σ = 10917504. Its totient is φ = 8529664.

The previous prime is 9677621. The next prime is 9677651. The reversal of 9677641 is 1467769.

9677641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9677641 - 2¹¹ = 9675593 is a prime.

It is a Duffinian number.

9677641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9677594 and 9677603.

It is not an unprimeable number, because it can be changed into a prime (9677621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20490 + ... + 20956.

It is an arithmetic number, because the mean of its divisors is an integer number (682344).

Almost surely, 2^9677641 is an apocalyptic number.

9677641 is the 1968-th centered pentagonal number.

It is an amenable number.

9677641 is a deficient number, since it is larger than the sum of its proper divisors (1239863).

9677641 is a wasteful number, since it uses less digits than its factorization.

9677641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its digits is 63504, while the sum is 40.

The square root of 9677641 is about 3110.8907084628. The cubic root of 9677641 is about 213.1031335799.

The spelling of 9677641 in words is "nine million, six hundred seventy-seven thousand, six hundred forty-one".