58967 has 2 divisors, whose sum is σ = 58968. Its totient is φ = 58966.

The previous prime is 58963. The next prime is 58979. The reversal of 58967 is 76985.

58967 is nontrivially palindromic in base 9.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 58967 - 2² = 58963 is a prime.

It is a Chen prime.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29483 + 29484.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁵⁸⁹⁶⁷ is an apocalyptic number.

58967 is a deficient number, since it is larger than the sum of its proper divisors (1).

58967 is an equidigital number, since it uses as much as digits as its factorization.

58967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 35.

The square root of 58967 is about 242.8312171036. The cubic root of 58967 is about 38.9227046762.

It can be divided in two parts, 589 and 67, that added together give a palindrome (656).

The spelling of 58967 in words is "fifty-eight thousand, nine hundred sixty-seven".