58007 has 8 divisors (see below), whose sum is σ = 63360. Its totient is φ = 52920.

The previous prime is 57991. The next prime is 58013. The reversal of 58007 is 70085.

58007 = 19² + 20² + ... + 56².

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 58007 - 2⁴ = 57991 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58027) 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, 782 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁵⁸⁰⁰⁷ is an apocalyptic number.

58007 is a deficient number, since it is larger than the sum of its proper divisors (5353).

58007 is a wasteful number, since it uses less digits than its factorization.

58007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 58007 is about 240.8464240964. The cubic root of 58007 is about 38.7103235929.

The spelling of 58007 in words is "fifty-eight thousand, seven".