58461 has 8 divisors (see below), whose sum is σ = 84000. Its totient is φ = 35952.

The previous prime is 58453. The next prime is 58477. The reversal of 58461 is 16485.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 58461 - 2³ = 58453 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58461.

It is not an unprimeable number, because it can be changed into a prime (58411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2⁵⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

58461 is a deficient number, since it is larger than the sum of its proper divisors (25539).

58461 is a wasteful number, since it uses less digits than its factorization.

58461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515.

The product of its digits is 960, while the sum is 24.

The square root of 58461 is about 241.7870964299. The cubic root of 58461 is about 38.8110518699.

Adding to 58461 its sum of digits (24), we get a palindrome (58485).

The spelling of 58461 in words is "fifty-eight thousand, four hundred sixty-one".