58641 has 8 divisors (see below), whose sum is σ = 85344. Its totient is φ = 35520.

The previous prime is 58631. The next prime is 58657. The reversal of 58641 is 14685.

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

It is not a de Polignac number, because 58641 - 2⁹ = 58129 is a prime.

58641 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (58601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

2⁵⁸⁶⁴¹ is an apocalyptic number.

It is an amenable number.

58641 is a deficient number, since it is larger than the sum of its proper divisors (26703).

58641 is a wasteful number, since it uses less digits than its factorization.

58641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791.

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

The square root of 58641 is about 242.1590386502. The cubic root of 58641 is about 38.8508438205.

Subtracting from 58641 its reverse (14685), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 5 and 8641, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 58641 in words is "fifty-eight thousand, six hundred forty-one".