58465 has 8 divisors (see below), whose sum is σ = 76608. Its totient is φ = 42480.

The previous prime is 58453. The next prime is 58477. The reversal of 58465 is 56485.

58465 = 25² + 26² + ... + 57².

It is an interprime number because it is at equal distance from previous prime (58453) and next prime (58477).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 58465 - 2⁷ = 58337 is a prime.

It is a Duffinian number.

58465 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁵⁸⁴⁶⁵ is an apocalyptic number.

58465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58465 is a deficient number, since it is larger than the sum of its proper divisors (18143).

58465 is a wasteful number, since it uses less digits than its factorization.

58465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its digits is 4800, while the sum is 28.

The square root of 58465 is about 241.7953680284. The cubic root of 58465 is about 38.8119370222.

The spelling of 58465 in words is "fifty-eight thousand, four hundred sixty-five".