2967971 has 8 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 2720520.

The previous prime is 2967967. The next prime is 2967973. The reversal of 2967971 is 1797692.

It is a happy number.

2967971 is nontrivially palindromic in base 9.

2967971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2967971 - 2² = 2967967 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 9⁵ + 6⁷ + 7² + 9⁶ + 7³ + 1 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2967973) 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 7 ways as a sum of consecutive naturals, for example, 1931 + ... + 3108.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

2^2967971 is an apocalyptic number.

2967971 is a deficient number, since it is larger than the sum of its proper divisors (257629).

2967971 is a wasteful number, since it uses less digits than its factorization.

2967971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089.

The product of its digits is 47628, while the sum is 41.

The square root of 2967971 is about 1722.7800207804. The cubic root of 2967971 is about 143.7098549523.

The spelling of 2967971 in words is "two million, nine hundred sixty-seven thousand, nine hundred seventy-one".