9335617641 has 81 divisors (see below), whose sum is σ = 16211154141. Its totient is φ = 5161880304.

The previous prime is 9335617633. The next prime is 9335617651. The reversal of 9335617641 is 1467165339.

It is a happy number.

The square root of 9335617641 is 96621.

It is a perfect power (a square), and thus also a powerful number.

9335617641 is a `hidden beast` number, since 93 + 356 + 176 + 41 = 666.

It is not a de Polignac number, because 9335617641 - 2³ = 9335617633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9335617651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87248710 + ... + 87248816.

Almost surely, 2^9335617641 is an apocalyptic number.

9335617641 is the 96621-st square number.

9335617641 is the 48311-st centered octagonal number.

It is an amenable number.

9335617641 is a deficient number, since it is larger than the sum of its proper divisors (6875536500).

9335617641 is a wasteful number, since it uses less digits than its factorization.

9335617641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The cubic root of 9335617641 is about 2105.6249531676.

The spelling of 9335617641 in words is "nine billion, three hundred thirty-five million, six hundred seventeen thousand, six hundred forty-one".