6961381 has 24 divisors (see below), whose sum is σ = 8778456. Its totient is φ = 5483520.

The previous prime is 6961379. The next prime is 6961393. The reversal of 6961381 is 1831696.

6961381 is digitally balanced in base 3, 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 4 ways, for example, as 540225 + 6421156 = 735^2 + 2534^2 .

It is not a de Polignac number, because 6961381 - 2¹ = 6961379 is a prime.

It is a super-2 number, since 2×6961381² = 96921650854322, which contains 22 as substring.

It is a Duffinian number.

6961381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961321) 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, 50745 + ... + 50881.

It is an arithmetic number, because the mean of its divisors is an integer number (365769).

Almost surely, 2^6961381 is an apocalyptic number.

6961381 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6961381 is a deficient number, since it is larger than the sum of its proper divisors (1817075).

6961381 is a wasteful number, since it uses less digits than its factorization.

6961381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 6961381 is about 2638.4429120222. The cubic root of 6961381 is about 190.9406813043.

The spelling of 6961381 in words is "six million, nine hundred sixty-one thousand, three hundred eighty-one".