33493 has 2 divisors, whose sum is σ = 33494. Its totient is φ = 33492.

The previous prime is 33487. The next prime is 33503. The reversal of 33493 is 39433.

33493 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 4 = 183^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 33493 - 2⁵ = 33461 is a prime.

It is a super-2 number, since 2×33493² = 2243562098, which contains 22 as substring.

It is equal to p₃₅₈₆ and since 33493 and 3586 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33403) 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, 16746 + 16747.

It is an arithmetic number, because the mean of its divisors is an integer number (16747).

2³³⁴⁹³ is an apocalyptic number.

It is an amenable number.

33493 is a deficient number, since it is larger than the sum of its proper divisors (1).

33493 is an equidigital number, since it uses as much as digits as its factorization.

33493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 22.

The square root of 33493 is about 183.0109286354. The cubic root of 33493 is about 32.2342831496.

The spelling of 33493 in words is "thirty-three thousand, four hundred ninety-three".