42401 has 4 divisors (see below), whose sum is σ = 42900. Its totient is φ = 41904.

The previous prime is 42397. The next prime is 42403. The reversal of 42401 is 10424.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 22801 = 140^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 42401 - 2² = 42397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 86 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (10725).

2⁴²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

42401 is a deficient number, since it is larger than the sum of its proper divisors (499).

42401 is a wasteful number, since it uses less digits than its factorization.

42401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42401 is about 205.9150310201. The cubic root of 42401 is about 34.8705421605.

Adding to 42401 its reverse (10424), we get a palindrome (52825).

It can be divided in two parts, 4 and 2401, that multiplied together give a square (9604 = 98²).

The spelling of 42401 in words is "forty-two thousand, four hundred one", and thus it is an iban number.