58347 has 8 divisors (see below), whose sum is σ = 86480. Its totient is φ = 38880.

The previous prime is 58337. The next prime is 58363. The reversal of 58347 is 74385.

It is not a de Polignac number, because 58347 - 2¹¹ = 56299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2161 = 58347 / (5 + 8 + 3 + 4 + 7).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 58347.

It is not an unprimeable number, because it can be changed into a prime (58337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1054 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (10810).

2⁵⁸³⁴⁷ is an apocalyptic number.

58347 is a deficient number, since it is larger than the sum of its proper divisors (28133).

58347 is a wasteful number, since it uses less digits than its factorization.

58347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 58347 is about 241.5512368008. The cubic root of 58347 is about 38.7858080381.

It can be divided in two parts, 583 and 47, that added together give a triangular number (630 = T₃₅).

The spelling of 58347 in words is "fifty-eight thousand, three hundred forty-seven".