10401 has 4 divisors (see below), whose sum is σ = 13872. Its totient is φ = 6932.

The previous prime is 10399. The next prime is 10427.

10401 is nontrivially palindromic in base 10.

10401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10401 - 2¹ = 10399 is a prime.

It is a D-number.

It is a self number, because there is not a number n which added to its sum of digits gives 10401.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 1731 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (3468).

2¹⁰⁴⁰¹ is an apocalyptic number.

10401 is the 65-th centered pentagonal number.

It is an amenable number.

10401 is a deficient number, since it is larger than the sum of its proper divisors (3471).

10401 is an equidigital number, since it uses as much as digits as its factorization.

10401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10401 is about 101.9852930574. The cubic root of 10401 is about 21.8285572496.

The spelling of 10401 in words is "ten thousand, four hundred one", and thus it is an iban number.