2967133 has 12 divisors (see below), whose sum is σ = 3263988. Its totient is φ = 2695680.

The previous prime is 2967131. The next prime is 2967187. The reversal of 2967133 is 3317692.

It can be written as a sum of positive squares in 6 ways, for example, as 1397124 + 1570009 = 1182^2 + 1253^2 .

It is not a de Polignac number, because 2967133 - 2¹ = 2967131 is a prime.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2967095 and 2967104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16303 + ... + 16483.

It is an arithmetic number, because the mean of its divisors is an integer number (271999).

2^2967133 is an apocalyptic number.

It is an amenable number.

2967133 is a deficient number, since it is larger than the sum of its proper divisors (296855).

2967133 is a wasteful number, since it uses less digits than its factorization.

2967133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 2967133 is about 1722.5367920599. The cubic root of 2967133 is about 143.6963282934.

The spelling of 2967133 in words is "two million, nine hundred sixty-seven thousand, one hundred thirty-three".