58251 has 4 divisors (see below), whose sum is σ = 77672. Its totient is φ = 38832.

The previous prime is 58243. The next prime is 58271. The reversal of 58251 is 15285.

Added to its reverse (15285) it gives a triangular number (73536 = T₃₈₃).

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

It is not a de Polignac number, because 58251 - 2³ = 58243 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58251.

It is not an unprimeable number, because it can be changed into a prime (58211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9706 + ... + 9711.

It is an arithmetic number, because the mean of its divisors is an integer number (19418).

2⁵⁸²⁵¹ is an apocalyptic number.

58251 is a deficient number, since it is larger than the sum of its proper divisors (19421).

58251 is a wasteful number, since it uses less digits than its factorization.

58251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19420.

The product of its digits is 400, while the sum is 21.

The square root of 58251 is about 241.3524393910. The cubic root of 58251 is about 38.7645245586.

Adding to 58251 its reverse (15285), we get a triangular number (73536 = T₃₈₃).

It can be divided in two parts, 5 and 8251, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 58251 in words is "fifty-eight thousand, two hundred fifty-one".