Search a number
58831 is a prime number
BaseRepresentation
bin1110010111001111
32222200221
432113033
53340311
61132211
7333343
oct162717
988627
1058831
1140223
122a067
1320a16
1417623
1512671
hexe5cf

58831 has 2 divisors, whose sum is σ = 58832. Its totient is φ = 58830.

The previous prime is 58789. The next prime is 58889. The reversal of 58831 is 13885.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 58831 - 211 = 56783 is a prime.

It is a super-2 number, since 2×588312 = 6922173122, which contains 22 as substring.

It is a lonely number, since its distance to closest prime (58789) sets a new record.

It is a junction number, because it is equal to n+sod(n) for n = 58796 and 58805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29415 + 29416.

It is an arithmetic number, because the mean of its divisors is an integer number (29416).

258831 is an apocalyptic number.

58831 is a deficient number, since it is larger than the sum of its proper divisors (1).

58831 is an equidigital number, since it uses as much as digits as its factorization.

58831 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 25.

The square root of 58831 is about 242.5510255596. The cubic root of 58831 is about 38.8927581940.

It can be divided in two parts, 5 and 8831, that added together give a square (8836 = 942).

The spelling of 58831 in words is "fifty-eight thousand, eight hundred thirty-one".