33972041 has 2 divisors, whose sum is σ = 33972042. Its totient is φ = 33972040.

The previous prime is 33972013. The next prime is 33972047. The reversal of 33972041 is 14027933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25210441 + 8761600 = 5021^2 + 2960^2 .

It is a cyclic number.

It is not a de Polignac number, because 33972041 - 2¹⁰ = 33971017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33971995 and 33972013.

It is not a weakly prime, because it can be changed into another prime (33972047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16986020 + 16986021.

It is an arithmetic number, because the mean of its divisors is an integer number (16986021).

Almost surely, 2^33972041 is an apocalyptic number.

It is an amenable number.

33972041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33972041 is an equidigital number, since it uses as much as digits as its factorization.

33972041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 33972041 is about 5828.5539372987. The cubic root of 33972041 is about 323.8723554754.

Adding to 33972041 its reverse (14027933), we get a palindrome (47999974).

The spelling of 33972041 in words is "thirty-three million, nine hundred seventy-two thousand, forty-one".