33418 has 24 divisors (see below), whose sum is σ = 65664. Its totient is φ = 12600.

The previous prime is 33413. The next prime is 33427. The reversal of 33418 is 81433.

33418 is nontrivially palindromic in base 6.

33418 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×33418² = 2233525448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33395 and 33404.

It is not an unprimeable number, because it can be changed into a prime (33413) by changing a digit.

33418 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063 + ... + 1093.

It is an arithmetic number, because the mean of its divisors is an integer number (2736).

2³³⁴¹⁸ is an apocalyptic number.

33418 is a deficient number, since it is larger than the sum of its proper divisors (32246).

33418 is a wasteful number, since it uses less digits than its factorization.

33418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 51 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 33418 is about 182.8059080008. The cubic root of 33418 is about 32.2102047051.

The spelling of 33418 in words is "thirty-three thousand, four hundred eighteen".