58963 has 2 divisors, whose sum is σ = 58964. Its totient is φ = 58962.

The previous prime is 58943. The next prime is 58967. The reversal of 58963 is 36985.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 58963 - 2⁹ = 58451 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 not a weakly prime, because it can be changed into another prime (58967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29481 + 29482.

It is an arithmetic number, because the mean of its divisors is an integer number (29482).

2⁵⁸⁹⁶³ is an apocalyptic number.

58963 is a deficient number, since it is larger than the sum of its proper divisors (1).

58963 is an equidigital number, since it uses as much as digits as its factorization.

58963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 31.

The square root of 58963 is about 242.8229807905. The cubic root of 58963 is about 38.9218245549.

The spelling of 58963 in words is "fifty-eight thousand, nine hundred sixty-three".