58061 has 2 divisors, whose sum is σ = 58062. Its totient is φ = 58060.

The previous prime is 58057. The next prime is 58067. The reversal of 58061 is 16085.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 15625 = 206^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 58061 - 2² = 58057 is a prime.

It is a Chen prime.

It is a plaindrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58061.

It is not a weakly prime, because it can be changed into another prime (58067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29030 + 29031.

It is an arithmetic number, because the mean of its divisors is an integer number (29031).

2⁵⁸⁰⁶¹ is an apocalyptic number.

It is an amenable number.

58061 is a deficient number, since it is larger than the sum of its proper divisors (1).

58061 is an equidigital number, since it uses as much as digits as its factorization.

58061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 58061 is about 240.9585026514. The cubic root of 58061 is about 38.7223319663.

Adding to 58061 its sum of digits (20), we get a square (58081 = 241²).

The spelling of 58061 in words is "fifty-eight thousand, sixty-one".