33982961 has 2 divisors, whose sum is σ = 33982962. Its totient is φ = 33982960.

The previous prime is 33982951. The next prime is 33982979. The reversal of 33982961 is 16928933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22800625 + 11182336 = 4775^2 + 3344^2 .

It is a cyclic number.

It is not a de Polignac number, because 33982961 - 2¹⁴ = 33966577 is a prime.

It is not a weakly prime, because it can be changed into another prime (33982901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16991480 + 16991481.

It is an arithmetic number, because the mean of its divisors is an integer number (16991481).

Almost surely, 2^33982961 is an apocalyptic number.

It is an amenable number.

33982961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33982961 is an equidigital number, since it uses as much as digits as its factorization.

33982961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 41.

The square root of 33982961 is about 5829.4906295490. The cubic root of 33982961 is about 323.9070536874.

It can be divided in two parts, 33982 and 961, that added together give a palindrome (34943).

The spelling of 33982961 in words is "thirty-three million, nine hundred eighty-two thousand, nine hundred sixty-one".