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BaseRepresentation
bin10000100011
31110020
4100203
513214
64523
73042
oct2043
91406
101059
11883
12743
13636
14559
154a9
hex423

1059 has 4 divisors (see below), whose sum is σ = 1416. Its totient is φ = 704.

The previous prime is 1051. The next prime is 1061. The reversal of 1059 is 9501.

1059 is nontrivially palindromic in base 13.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 9501 = 33167.

It is a cyclic number.

It is not a de Polignac number, because 1059 - 23 = 1051 is a prime.

It is a super-2 number, since 2×10592 = 2242962, which contains 22 as substring.

It is a D-number.

1059 is an undulating number in base 13.

It is a plaindrome in base 14.

It is a nialpdrome in base 11 and base 12.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (354).

1059 is a deficient number, since it is larger than the sum of its proper divisors (357).

1059 is an equidigital number, since it uses as much as digits as its factorization.

1059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1059 is about 32.5422801905. The cubic root of 1059 is about 10.1929208858.

The spelling of 1059 in words is "one thousand, fifty-nine".

Divisors: 1 3 353 1059