9872961 has 24 divisors (see below), whose sum is σ = 15649920. Its totient is φ = 5517792.

The previous prime is 9872939. The next prime is 9872977. The reversal of 9872961 is 1692789.

It is not a de Polignac number, because 9872961 - 2⁹ = 9872449 is a prime.

It is an alternating number because its digits alternate between odd and even.

9872961 is a modest number, since divided by 2961 gives 987 as remainder.

9872961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9872921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6195 + ... + 7623.

It is an arithmetic number, because the mean of its divisors is an integer number (652080).

Almost surely, 2^9872961 is an apocalyptic number.

It is an amenable number.

9872961 is a deficient number, since it is larger than the sum of its proper divisors (5776959).

9872961 is a wasteful number, since it uses less digits than its factorization.

9872961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 9872961 is about 3142.1268274848. The cubic root of 9872961 is about 214.5272540503.

It can be divided in two parts, 98729 and 61, that added together give a triangular number (98790 = T₄₄₄).

The spelling of 9872961 in words is "nine million, eight hundred seventy-two thousand, nine hundred sixty-one".