9961541 has 6 divisors (see below), whose sum is σ = 10582290. Its totient is φ = 9375296.

The previous prime is 9961531. The next prime is 9961543. The reversal of 9961541 is 1451699.

It can be written as a sum of positive squares in 3 ways, for example, as 4532641 + 5428900 = 2129^2 + 2330^2 .

It is not a de Polignac number, because 9961541 - 2¹⁴ = 9945157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961543) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16946 + ... + 17523.

It is an arithmetic number, because the mean of its divisors is an integer number (1763715).

Almost surely, 2^9961541 is an apocalyptic number.

It is an amenable number.

9961541 is a deficient number, since it is larger than the sum of its proper divisors (620749).

9961541 is a wasteful number, since it uses less digits than its factorization.

9961541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34503 (or 34486 counting only the distinct ones).

The product of its digits is 9720, while the sum is 35.

The square root of 9961541 is about 3156.1909004368. The cubic root of 9961541 is about 215.1669228308.

The spelling of 9961541 in words is "nine million, nine hundred sixty-one thousand, five hundred forty-one".