33420 has 24 divisors (see below), whose sum is σ = 93744. Its totient is φ = 8896.

The previous prime is 33413. The next prime is 33427. The reversal of 33420 is 2433.

33420 = 7² + 8² + ... + 46².

It is an interprime number because it is at equal distance from previous prime (33413) and next prime (33427).

It is a super-2 number, since 2×33420² = 2233792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 33396 and 33405.

It is not an unprimeable number, because it can be changed into a prime (33427) 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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2³³⁴²⁰ is an apocalyptic number.

33420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33420 is an abundant number, since it is smaller than the sum of its proper divisors (60324).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

33420 is a wasteful number, since it uses less digits than its factorization.

33420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 33420 is about 182.8113782017. The cubic root of 33420 is about 32.2108472643.

Adding to 33420 its reverse (2433), we get a palindrome (35853).

The spelling of 33420 in words is "thirty-three thousand, four hundred twenty".