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57005 = 513877
BaseRepresentation
bin1101111010101101
32220012022
431322231
53311010
61115525
7325124
oct157255
986168
1057005
1139913
1228ba5
131cc40
1416abb
1511d55
hexdead

57005 has 8 divisors (see below), whose sum is σ = 73752. Its totient is φ = 42048.

The previous prime is 56999. The next prime is 57037. The reversal of 57005 is 50075.

57005 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 5476 + 51529 = 74^2 + 227^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57005 - 24 = 56989 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 374 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (9219).

257005 is an apocalyptic number.

It is an amenable number.

57005 is a deficient number, since it is larger than the sum of its proper divisors (16747).

57005 is a wasteful number, since it uses less digits than its factorization.

57005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895.

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 57005 is about 238.7571988443. The cubic root of 57005 is about 38.4861365726.

The spelling of 57005 in words is "fifty-seven thousand, five".

Divisors: 1 5 13 65 877 4385 11401 57005