58097 has 8 divisors (see below), whose sum is σ = 64680. Its totient is φ = 51840.

The previous prime is 58073. The next prime is 58099. The reversal of 58097 is 79085.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 58081 = 4^2 + 241^2 .

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 58097 - 2¹⁰ = 57073 is a prime.

It is a super-2 number, since 2×58097² = 6750522818, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58097.

It is not an unprimeable number, because it can be changed into a prime (58099) 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, 479 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

2⁵⁸⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

58097 is a deficient number, since it is larger than the sum of its proper divisors (6583).

58097 is a wasteful number, since it uses less digits than its factorization.

58097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 58097 is about 241.0331927349. The cubic root of 58097 is about 38.7303334127.

The spelling of 58097 in words is "fifty-eight thousand, ninety-seven".