58965 has 8 divisors (see below), whose sum is σ = 94368. Its totient is φ = 31440.

The previous prime is 58963. The next prime is 58967. The reversal of 58965 is 56985.

It is an interprime number because it is at equal distance from previous prime (58963) and next prime (58967).

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

It is not a de Polignac number, because 58965 - 2¹ = 58963 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58963) 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, 1951 + ... + 1980.

It is an arithmetic number, because the mean of its divisors is an integer number (11796).

2⁵⁸⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

58965 is a deficient number, since it is larger than the sum of its proper divisors (35403).

58965 is a wasteful number, since it uses less digits than its factorization.

58965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939.

The product of its digits is 10800, while the sum is 33.

The square root of 58965 is about 242.8270989820. The cubic root of 58965 is about 38.9222646205.

The spelling of 58965 in words is "fifty-eight thousand, nine hundred sixty-five".