32681993 has 2 divisors, whose sum is σ = 32681994. Its totient is φ = 32681992.

The previous prime is 32681959. The next prime is 32682017. The reversal of 32681993 is 39918623.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28174864 + 4507129 = 5308^2 + 2123^2 .

It is an emirp because it is prime and its reverse (39918623) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32681993 - 2²² = 28487689 is a prime.

It is a super-2 number, since 2×32681993² = 2136225332904098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32681993.

It is not a weakly prime, because it can be changed into another prime (32681933) 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, 16340996 + 16340997.

It is an arithmetic number, because the mean of its divisors is an integer number (16340997).

Almost surely, 2^32681993 is an apocalyptic number.

It is an amenable number.

32681993 is a deficient number, since it is larger than the sum of its proper divisors (1).

32681993 is an equidigital number, since it uses as much as digits as its factorization.

32681993 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 32681993 is about 5716.8166841346. The cubic root of 32681993 is about 319.7197839903.

The spelling of 32681993 in words is "thirty-two million, six hundred eighty-one thousand, nine hundred ninety-three".