33977680817 has 2 divisors, whose sum is σ = 33977680818. Its totient is φ = 33977680816.

The previous prime is 33977680697. The next prime is 33977680837. The reversal of 33977680817 is 71808677933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19394461696 + 14583219121 = 139264^2 + 120761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33977680817 is a prime.

It is not a weakly prime, because it can be changed into another prime (33977680837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16988840408 + 16988840409.

It is an arithmetic number, because the mean of its divisors is an integer number (16988840409).

Almost surely, 2^33977680817 is an apocalyptic number.

It is an amenable number.

33977680817 is a deficient number, since it is larger than the sum of its proper divisors (1).

33977680817 is an equidigital number, since it uses as much as digits as its factorization.

33977680817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10668672, while the sum is 59.

The spelling of 33977680817 in words is "thirty-three billion, nine hundred seventy-seven million, six hundred eighty thousand, eight hundred seventeen".