58361 has 4 divisors (see below), whose sum is σ = 61812. Its totient is φ = 54912.

The previous prime is 58337. The next prime is 58363. The reversal of 58361 is 16385.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 32761 + 25600 = 181^2 + 160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58361 is a prime.

It is a super-3 number, since 3×58361³ = 596333804699643, which contains 333 as substring.

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

It is a plaindrome in base 15.

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 58361.

It is not an unprimeable number, because it can be changed into a prime (58363) 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 3 ways as a sum of consecutive naturals, for example, 1700 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (15453).

2⁵⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

58361 is a deficient number, since it is larger than the sum of its proper divisors (3451).

58361 is a wasteful number, since it uses less digits than its factorization.

58361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450.

The product of its digits is 720, while the sum is 23.

The square root of 58361 is about 241.5802144216. The cubic root of 58361 is about 38.7889099279.

The spelling of 58361 in words is "fifty-eight thousand, three hundred sixty-one".