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57829 is a prime number
BaseRepresentation
bin1110000111100101
32221022211
432013211
53322304
61123421
7330412
oct160745
987284
1057829
113a4a2
1229571
1320425
1417109
1512204
hexe1e5

57829 has 2 divisors, whose sum is σ = 57830. Its totient is φ = 57828.

The previous prime is 57809. The next prime is 57839. The reversal of 57829 is 92875.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 8100 = 223^2 + 90^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28914 + 28915.

It is an arithmetic number, because the mean of its divisors is an integer number (28915).

257829 is an apocalyptic number.

It is an amenable number.

57829 is a deficient number, since it is larger than the sum of its proper divisors (1).

57829 is an equidigital number, since it uses as much as digits as its factorization.

57829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 31.

The square root of 57829 is about 240.4766100892. The cubic root of 57829 is about 38.6706875856.

The spelling of 57829 in words is "fifty-seven thousand, eight hundred twenty-nine".