58961 has 4 divisors (see below), whose sum is σ = 67392. Its totient is φ = 50532.

The previous prime is 58943. The next prime is 58963. The reversal of 58961 is 16985.

58961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 58961 - 2⁶ = 58897 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58961.

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 3 ways as a sum of consecutive naturals, for example, 4205 + ... + 4218.

It is an arithmetic number, because the mean of its divisors is an integer number (16848).

2⁵⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

58961 is a deficient number, since it is larger than the sum of its proper divisors (8431).

58961 is an equidigital number, since it uses as much as digits as its factorization.

58961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430.

The product of its digits is 2160, while the sum is 29.

The square root of 58961 is about 242.8188625293. The cubic root of 58961 is about 38.9213844793.

The spelling of 58961 in words is "fifty-eight thousand, nine hundred sixty-one".