6957657 has 30 divisors (see below), whose sum is σ = 12097338. Its totient is φ = 3973536.

The previous prime is 6957631. The next prime is 6957683. The reversal of 6957657 is 7567596.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6957631) and next prime (6957683).

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 2893401 = 2016^2 + 1701^2 .

It is not a de Polignac number, because 6957657 - 2¹⁹ = 6433369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6957757) 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 29 ways as a sum of consecutive naturals, for example, 3093 + ... + 4845.

Almost surely, 2^6957657 is an apocalyptic number.

It is an amenable number.

6957657 is a deficient number, since it is larger than the sum of its proper divisors (5139681).

6957657 is a wasteful number, since it uses less digits than its factorization.

6957657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1763 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 6957657 is about 2637.7370983477. The cubic root of 6957657 is about 190.9066272409.

The spelling of 6957657 in words is "six million, nine hundred fifty-seven thousand, six hundred fifty-seven".