58401 has 20 divisors (see below), whose sum is σ = 100672. Its totient is φ = 33048.

The previous prime is 58393. The next prime is 58403. The reversal of 58401 is 10485.

It is not a de Polignac number, because 58401 - 2³ = 58393 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 516 + ... + 618.

2⁵⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

58401 is a deficient number, since it is larger than the sum of its proper divisors (42271).

58401 is a wasteful number, since it uses less digits than its factorization.

58401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 58401 is about 241.6629884778. The cubic root of 58401 is about 38.7977697375.

Adding to 58401 its reverse (10485), we get a palindrome (68886).

The spelling of 58401 in words is "fifty-eight thousand, four hundred one".