34401 has 4 divisors (see below), whose sum is σ = 45872. Its totient is φ = 22932.

The previous prime is 34381. The next prime is 34403. The reversal of 34401 is 10443.

34401 is nontrivially palindromic in base 2.

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 not a de Polignac number, because 34401 - 2⁵ = 34369 is a prime.

It is a D-number.

It is a Duffinian number.

34401 is a lucky number.

It is a nialpdrome in base 14 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34401.

It is not an unprimeable number, because it can be changed into a prime (34403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5731 + ... + 5736.

It is an arithmetic number, because the mean of its divisors is an integer number (11468).

2³⁴⁴⁰¹ is an apocalyptic number.

It is an amenable number.

34401 is a deficient number, since it is larger than the sum of its proper divisors (11471).

34401 is a wasteful number, since it uses less digits than its factorization.

34401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11470.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34401 is about 185.4750657097. The cubic root of 34401 is about 32.5229817726.

Adding to 34401 its reverse (10443), we get a palindrome (44844).

It can be divided in two parts, 34 and 401, that added together give a triangular number (435 = T₂₉).

The spelling of 34401 in words is "thirty-four thousand, four hundred one".