6961167 has 16 divisors (see below), whose sum is σ = 10356480. Its totient is φ = 4621176.

The previous prime is 6961159. The next prime is 6961169. The reversal of 6961167 is 7611696.

6961167 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6961167 - 2³ = 6961159 is a prime.

It is a super-3 number, since 3×6961167³ (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 (6961169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8998 + ... + 9740.

It is an arithmetic number, because the mean of its divisors is an integer number (647280).

Almost surely, 2^6961167 is an apocalyptic number.

6961167 is a deficient number, since it is larger than the sum of its proper divisors (3395313).

6961167 is a wasteful number, since it uses less digits than its factorization.

6961167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 6961167 is about 2638.4023574883. The cubic root of 6961167 is about 190.9387247134.

The spelling of 6961167 in words is "six million, nine hundred sixty-one thousand, one hundred sixty-seven".