33981953 has 2 divisors, whose sum is σ = 33981954. Its totient is φ = 33981952.

The previous prime is 33981919. The next prime is 33981973. The reversal of 33981953 is 35918933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28815424 + 5166529 = 5368^2 + 2273^2 .

It is a cyclic number.

It is not a de Polignac number, because 33981953 - 2¹⁸ = 33719809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33981953.

It is not a weakly prime, because it can be changed into another prime (33981973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16990976 + 16990977.

It is an arithmetic number, because the mean of its divisors is an integer number (16990977).

Almost surely, 2^33981953 is an apocalyptic number.

It is an amenable number.

33981953 is a deficient number, since it is larger than the sum of its proper divisors (1).

33981953 is an equidigital number, since it uses as much as digits as its factorization.

33981953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 87480, while the sum is 41.

The square root of 33981953 is about 5829.4041719545. The cubic root of 33981953 is about 323.9038510870.

The spelling of 33981953 in words is "thirty-three million, nine hundred eighty-one thousand, nine hundred fifty-three".