42801 has 8 divisors (see below), whose sum is σ = 62304. Its totient is φ = 25920.

The previous prime is 42797. The next prime is 42821. The reversal of 42801 is 10824.

42801 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 42801 - 2² = 42797 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (42821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (7788).

2⁴²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

42801 is a deficient number, since it is larger than the sum of its proper divisors (19503).

42801 is a wasteful number, since it uses less digits than its factorization.

42801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42801 is about 206.8840254829. The cubic root of 42801 is about 34.9798523499.

The spelling of 42801 in words is "forty-two thousand, eight hundred one".