8003567961 has 40 divisors (see below), whose sum is σ = 12700934400. Its totient is φ = 5008404960.

The previous prime is 8003567953. The next prime is 8003567977. The reversal of 8003567961 is 1697653008.

It is a happy number.

8003567961 is a `hidden beast` number, since 80 + 0 + 3 + 567 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 8003567961 - 2³ = 8003567953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8003567261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143896 + ... + 191606.

It is an arithmetic number, because the mean of its divisors is an integer number (317523360).

Almost surely, 2^8003567961 is an apocalyptic number.

8003567961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8003567961 is a deficient number, since it is larger than the sum of its proper divisors (4697366439).

8003567961 is a wasteful number, since it uses less digits than its factorization.

8003567961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47851 (or 47842 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 8003567961 is about 89462.6623849302. The cubic root of 8003567961 is about 2000.2972858917.

The spelling of 8003567961 in words is "eight billion, three million, five hundred sixty-seven thousand, nine hundred sixty-one".