2967957 has 6 divisors (see below), whose sum is σ = 4287062. Its totient is φ = 1978632.

The previous prime is 2967953. The next prime is 2967967. The reversal of 2967957 is 7597692.

2967957 is digitally balanced in base 2, 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 only one way, i.e., 2954961 + 12996 = 1719^2 + 114^2 .

It is not a de Polignac number, because 2967957 - 2² = 2967953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967953) 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 5 ways as a sum of consecutive naturals, for example, 164878 + ... + 164895.

2^2967957 is an apocalyptic number.

It is an amenable number.

2967957 is a deficient number, since it is larger than the sum of its proper divisors (1319105).

2967957 is a wasteful number, since it uses less digits than its factorization.

2967957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329779 (or 329776 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 2967957 is about 1722.7759575754. The cubic root of 2967957 is about 143.7096289909.

The spelling of 2967957 in words is "two million, nine hundred sixty-seven thousand, nine hundred fifty-seven".