42368 has 16 divisors (see below), whose sum is σ = 84660. Its totient is φ = 21120.

The previous prime is 42359. The next prime is 42373. The reversal of 42368 is 86324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

It is an Ulam number.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 38 + ... + 293.

2⁴²³⁶⁸ is an apocalyptic number.

It is an amenable number.

42368 is a deficient number, since it is larger than the sum of its proper divisors (42292).

42368 is an equidigital number, since it uses as much as digits as its factorization.

42368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 42368 is about 205.8348852843. The cubic root of 42368 is about 34.8614934230.

Subtracting 42368 from its reverse (86324), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 42368 in words is "forty-two thousand, three hundred sixty-eight".