12967033 has 8 divisors (see below), whose sum is σ = 13365000. Its totient is φ = 12574848.

The previous prime is 12967013. The next prime is 12967061. The reversal of 12967033 is 33076921.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 12766329 = 448^2 + 3573^2 .

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 12967033 - 2⁵ = 12967001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12966986 and 12967004.

It is not an unprimeable number, because it can be changed into a prime (12967013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3343 + ... + 6091.

It is an arithmetic number, because the mean of its divisors is an integer number (1670625).

Almost surely, 2^12967033 is an apocalyptic number.

It is an amenable number.

12967033 is a deficient number, since it is larger than the sum of its proper divisors (397967).

12967033 is an equidigital number, since it uses as much as digits as its factorization.

12967033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891.

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

The square root of 12967033 is about 3600.9766730708. The cubic root of 12967033 is about 234.9345403916.

The spelling of 12967033 in words is "twelve million, nine hundred sixty-seven thousand, thirty-three".