10872961 has 8 divisors (see below), whose sum is σ = 12039264. Its totient is φ = 9736320.

The previous prime is 10872949. The next prime is 10872991. The reversal of 10872961 is 16927801.

It is a happy number.

10872961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10872961 - 2⁵ = 10872929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10872991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6640 + ... + 8113.

It is an arithmetic number, because the mean of its divisors is an integer number (1504908).

Almost surely, 2^10872961 is an apocalyptic number.

10872961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10872961 is a deficient number, since it is larger than the sum of its proper divisors (1166303).

10872961 is a wasteful number, since it uses less digits than its factorization.

10872961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14831.

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 10872961 is about 3297.4173226936. The cubic root of 10872961 is about 221.5385336198.

The spelling of 10872961 in words is "ten million, eight hundred seventy-two thousand, nine hundred sixty-one".