3493 has 4 divisors (see below), whose sum is σ = 4000. Its totient is φ = 2988.

The previous prime is 3491. The next prime is 3499. The reversal of 3493 is 3943.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 3493 - 2¹ = 3491 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3491) 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 in 3 ways as a sum of consecutive naturals, for example, 243 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (1000).

2³⁴⁹³ is an apocalyptic number.

It is an amenable number.

3493 is a deficient number, since it is larger than the sum of its proper divisors (507).

3493 is an equidigital number, since it uses as much as digits as its factorization.

3493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its digits is 324, while the sum is 19.

The square root of 3493 is about 59.1016074231. The cubic root of 3493 is about 15.1728161407.

It can be divided in two parts, 3 and 493, that added together give a triangular number (496 = T₃₁).

The spelling of 3493 in words is "three thousand, four hundred ninety-three".