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BaseRepresentation
bin10000100001
31110011
4100201
513212
64521
73040
oct2041
91404
101057
11881
12741
13634
14557
154a7
hex421

1057 has 4 divisors (see below), whose sum is σ = 1216. Its totient is φ = 900.

The previous prime is 1051. The next prime is 1061. The reversal of 1057 is 7501.

1057 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7501 = 13577.

It is a cyclic number.

It is not a de Polignac number, because 1057 - 23 = 1049 is a prime.

It is a super-2 number, since 2×10572 = 2234498, which contains 22 as substring.

It is the 33-rd Hogben number.

It is a Duffinian number.

1057 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 11, base 12 and base 16.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051) by changing a digit.

It is a nontrivial repunit in base 32.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (304).

It is an amenable number.

1057 is a deficient number, since it is larger than the sum of its proper divisors (159).

1057 is an equidigital number, since it uses as much as digits as its factorization.

1057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 1057 is about 32.5115364140. The cubic root of 1057 is about 10.1865001465.

Adding to 1057 its reverse (7501), we get a palindrome (8558).

The spelling of 1057 in words is "one thousand, fifty-seven".

Divisors: 1 7 151 1057