58681 has 8 divisors (see below), whose sum is σ = 68544. Its totient is φ = 49200.

The previous prime is 58679. The next prime is 58687. The reversal of 58681 is 18685.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 58681 - 2¹ = 58679 is a prime.

It is a super-2 number, since 2×58681² = 6886919522, which contains 22 as substring.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (58687) 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, 531 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁵⁸⁶⁸¹ is an apocalyptic number.

It is an amenable number.

58681 is a deficient number, since it is larger than the sum of its proper divisors (9863).

58681 is a wasteful number, since it uses less digits than its factorization.

58681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 1920, while the sum is 28.

The square root of 58681 is about 242.2416149220. The cubic root of 58681 is about 38.8596754147.

Subtracting from 58681 its sum of digits (28), we obtain a triangular number (58653 = T₃₄₂).

The spelling of 58681 in words is "fifty-eight thousand, six hundred eighty-one".