35442 has 24 divisors (see below), whose sum is σ = 84240. Its totient is φ = 10680.

The previous prime is 35437. The next prime is 35447. The reversal of 35442 is 24453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (35437) and next prime (35447).

It is a super-2 number, since 2×35442² = 2512270728, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35442.

It is not an unprimeable number, because it can be changed into a prime (35447) by changing a digit.

35442 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2³⁵⁴⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120).

35442 is an abundant number, since it is smaller than the sum of its proper divisors (48798).

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

35442 is a wasteful number, since it uses less digits than its factorization.

35442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 35442 is about 188.2604578768. The cubic root of 35442 is about 32.8477838139.

Adding to 35442 its reverse (24453), we get a palindrome (59895).

It can be divided in two parts, 3 and 5442, that added together give a palindrome (5445).

The spelling of 35442 in words is "thirty-five thousand, four hundred forty-two".