9961167 has 16 divisors (see below), whose sum is σ = 14156640. Its totient is φ = 6208512.

The previous prime is 9961151. The next prime is 9961207. The reversal of 9961167 is 7611699.

It is not a de Polignac number, because 9961167 - 2⁴ = 9961151 is a prime.

It is a super-3 number, since 3×9961167³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8259 + ... + 9387.

It is an arithmetic number, because the mean of its divisors is an integer number (884790).

Almost surely, 2^9961167 is an apocalyptic number.

9961167 is a deficient number, since it is larger than the sum of its proper divisors (4195473).

9961167 is a wasteful number, since it uses less digits than its factorization.

9961167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322.

The product of its digits is 20412, while the sum is 39.

The square root of 9961167 is about 3156.1316512465. The cubic root of 9961167 is about 215.1642300267.

The spelling of 9961167 in words is "nine million, nine hundred sixty-one thousand, one hundred sixty-seven".