33712961 has 2 divisors, whose sum is σ = 33712962. Its totient is φ = 33712960.

The previous prime is 33712951. The next prime is 33712967. The reversal of 33712961 is 16921733.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30030400 + 3682561 = 5480^2 + 1919^2 .

It is an emirp because it is prime and its reverse (16921733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33712961 - 2¹⁴ = 33696577 is a prime.

It is a super-2 number, since 2×33712961² = 2273127478775042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33712967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16856480 + 16856481.

It is an arithmetic number, because the mean of its divisors is an integer number (16856481).

Almost surely, 2^33712961 is an apocalyptic number.

It is an amenable number.

33712961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33712961 is an equidigital number, since it uses as much as digits as its factorization.

33712961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 32.

The square root of 33712961 is about 5806.2863346549. The cubic root of 33712961 is about 323.0469408147.

The spelling of 33712961 in words is "thirty-three million, seven hundred twelve thousand, nine hundred sixty-one".