58290 has 32 divisors (see below), whose sum is σ = 146880. Its totient is φ = 14784.

The previous prime is 58271. The next prime is 58309. The reversal of 58290 is 9285.

It is an interprime number because it is at equal distance from previous prime (58271) and next prime (58309).

It is a self number, because there is not a number n which added to its sum of digits gives 58290.

It is a congruent number.

It is an unprimeable number.

58290 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2⁵⁸²⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

58290 is an abundant number, since it is smaller than the sum of its proper divisors (88590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58290 is a wasteful number, since it uses less digits than its factorization.

58290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 58290 is about 241.4332205808. The cubic root of 58290 is about 38.7731737903.

The spelling of 58290 in words is "fifty-eight thousand, two hundred ninety".