33354 has 24 divisors (see below), whose sum is σ = 77220. Its totient is φ = 10368.

The previous prime is 33353. The next prime is 33359. The reversal of 33354 is 45333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 2025 = 177^2 + 45^2 .

It is a super-2 number, since 2×33354² = 2224978632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33353) by changing a digit.

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, 252 + ... + 360.

2³³³⁵⁴ is an apocalyptic number.

33354 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610).

33354 is an abundant number, since it is smaller than the sum of its proper divisors (43866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33354 is a wasteful number, since it uses less digits than its factorization.

33354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 33354 is about 182.6307750627. The cubic root of 33354 is about 32.1896292619.

Adding to 33354 its reverse (45333), we get a palindrome (78687).

The spelling of 33354 in words is "thirty-three thousand, three hundred fifty-four".