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58357 = 13672
BaseRepresentation
bin1110001111110101
32222001101
432033311
53331412
61130101
7332065
oct161765
988041
1058357
113a932
1229931
1320740
14173a5
1512457
hexe3f5

58357 has 6 divisors (see below), whose sum is σ = 63798. Its totient is φ = 53064.

The previous prime is 58337. The next prime is 58363. The reversal of 58357 is 75385.

Adding to 58357 its sum of digits (28), we get a palindrome (58385).

It can be divided in two parts, 58 and 357, that multiplied together give a triangular number (20706 = T203).

It can be written as a sum of positive squares in only one way, i.e., 40401 + 17956 = 201^2 + 134^2 .

It is not a de Polignac number, because 58357 - 27 = 58229 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58337) 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 in 5 ways as a sum of consecutive naturals, for example, 838 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (10633).

258357 is an apocalyptic number.

It is an amenable number.

58357 is a deficient number, since it is larger than the sum of its proper divisors (5441).

58357 is an equidigital number, since it uses as much as digits as its factorization.

58357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 80 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The square root of 58357 is about 241.5719354561. The cubic root of 58357 is about 38.7880237243.

The spelling of 58357 in words is "fifty-eight thousand, three hundred fifty-seven".

Divisors: 1 13 67 871 4489 58357