33442 has 8 divisors (see below), whose sum is σ = 52416. Its totient is φ = 15972.

The previous prime is 33427. The next prime is 33457. The reversal of 33442 is 24433.

It is an interprime number because it is at equal distance from previous prime (33427) and next prime (33457).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×33442² = 2236734728, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁴ + 3⁴ + 4⁴ + 4⁴ + 2¹⁵ .

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 318 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2³³⁴⁴² is an apocalyptic number.

33442 is a deficient number, since it is larger than the sum of its proper divisors (18974).

33442 is a wasteful number, since it uses less digits than its factorization.

33442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752.

The product of its digits is 288, while the sum is 16.

The square root of 33442 is about 182.8715396118. The cubic root of 33442 is about 32.2179137235.

Adding to 33442 its reverse (24433), we get a palindrome (57875).

Subtracting from 33442 its reverse (24433), we obtain a palindrome (9009).

It can be divided in two parts, 334 and 42, that multiplied together give a triangular number (14028 = T₁₆₇).

The spelling of 33442 in words is "thirty-three thousand, four hundred forty-two".