8401 has 4 divisors (see below), whose sum is σ = 8704. Its totient is φ = 8100.

The previous prime is 8389. The next prime is 8419. The reversal of 8401 is 1048.

8401 = T₆ + T₇ + ... + T₃₆.

8401 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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 4-Lehmer number, since φ(8401) divides (8401-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 8401 - 2⁵ = 8369 is a prime.

It is a deceptive number, since it divides R₈₄₀₀.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (8431) 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, 105 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (2176).

2⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

8401 is a deficient number, since it is larger than the sum of its proper divisors (303).

8401 is a wasteful number, since it uses less digits than its factorization.

8401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8401 is about 91.6569691840. The cubic root of 8401 is about 20.3287337681.

Adding to 8401 its reverse (1048), we get a palindrome (9449).

It can be divided in two parts, 840 and 1, that added together give a square (841 = 29²).

The spelling of 8401 in words is "eight thousand, four hundred one".