6961131 has 24 divisors (see below), whose sum is σ = 10530000. Its totient is φ = 4425792.

The previous prime is 6961121. The next prime is 6961133. The reversal of 6961131 is 1311696.

It is not a de Polignac number, because 6961131 - 2¹¹ = 6959083 is a prime.

It is a super-2 number, since 2×6961131² = 96914689598322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6961095 and 6961104.

It is not an unprimeable number, because it can be changed into a prime (6961133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38800 + ... + 38978.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^6961131 is an apocalyptic number.

6961131 is a deficient number, since it is larger than the sum of its proper divisors (3568869).

6961131 is a wasteful number, since it uses less digits than its factorization.

6961131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 360 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 6961131 is about 2638.3955351691. The cubic root of 6961131 is about 190.9383955633.

The spelling of 6961131 in words is "six million, nine hundred sixty-one thousand, one hundred thirty-one".