9961437249 has 81 divisors (see below), whose sum is σ = 16289877123. Its totient is φ = 5863860864.

The previous prime is 9961437217. The next prime is 9961437253. The reversal of 9961437249 is 9427341699.

The square root of 9961437249 is 99807.

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

9961437249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7755444225 + 2205993024 = 88065^2 + 46968^2 .

It is not a de Polignac number, because 9961437249 - 2⁵ = 9961437217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9961437195 and 9961437204.

It is not an unprimeable number, because it can be changed into a prime (9961437209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 96712932 + ... + 96713034.

Almost surely, 2^9961437249 is an apocalyptic number.

9961437249 is the 99807-th square number.

9961437249 is the 49904-th centered octagonal number.

It is an amenable number.

9961437249 is a deficient number, since it is larger than the sum of its proper divisors (6328439874).

9961437249 is a wasteful number, since it uses less digits than its factorization.

9961437249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The cubic root of 9961437249 is about 2151.6617582923.

The spelling of 9961437249 in words is "nine billion, nine hundred sixty-one million, four hundred thirty-seven thousand, two hundred forty-nine".