2967849 has 6 divisors (see below), whose sum is σ = 4286906. Its totient is φ = 1978560.

The previous prime is 2967827. The next prime is 2967893. The reversal of 2967849 is 9487692.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 1225449 = 1320^2 + 1107^2 .

It is not a de Polignac number, because 2967849 - 2⁹ = 2967337 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 9⁵ + 6⁷ + 7 + 8 + 4⁴ + 9⁶ .

It is a Duffinian number.

2967849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2967049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164872 + ... + 164889.

2^2967849 is an apocalyptic number.

It is an amenable number.

2967849 is a deficient number, since it is larger than the sum of its proper divisors (1319057).

2967849 is a wasteful number, since it uses less digits than its factorization.

2967849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329767 (or 329764 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2967849 is about 1722.7446125297. The cubic root of 2967849 is about 143.7078858358.

The spelling of 2967849 in words is "two million, nine hundred sixty-seven thousand, eight hundred forty-nine".