42354 has 24 divisors (see below), whose sum is σ = 99372. Its totient is φ = 12960.

The previous prime is 42349. The next prime is 42359. The reversal of 42354 is 45324.

It is a happy number.

42354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42349) and next prime (42359).

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 11025 = 177^2 + 105^2 .

It is a super-2 number, since 2×42354² = 3587722632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 324.

2⁴²³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49686).

42354 is an abundant number, since it is smaller than the sum of its proper divisors (57018).

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

42354 is a wasteful number, since it uses less digits than its factorization.

42354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 199 counting only the distinct ones).

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

The square root of 42354 is about 205.8008746337. The cubic root of 42354 is about 34.8576531452.

Adding to 42354 its reverse (45324), we get a palindrome (87678).

The spelling of 42354 in words is "forty-two thousand, three hundred fifty-four".