9902961 has 12 divisors (see below), whose sum is σ = 14501188. Its totient is φ = 6511104.

The previous prime is 9902951. The next prime is 9902983. The reversal of 9902961 is 1692099.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 4704561 = 2280^2 + 2169^2 .

It is not a de Polignac number, because 9902961 - 2⁵ = 9902929 is a prime.

It is a Duffinian number.

9902961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9902911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6880 + ... + 8193.

Almost surely, 2^9902961 is an apocalyptic number.

It is an amenable number.

9902961 is a deficient number, since it is larger than the sum of its proper divisors (4598227).

9902961 is a wasteful number, since it uses less digits than its factorization.

9902961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9902961 is about 3146.8970431204. The cubic root of 9902961 is about 214.7443219922.

The spelling of 9902961 in words is "nine million, nine hundred two thousand, nine hundred sixty-one".