1058 has 6 divisors (see below), whose sum is σ = 1659. Its totient is φ = 506.

The previous prime is 1051. The next prime is 1061. The reversal of 1058 is 8501.

It can be written as a sum of positive squares in only one way, i.e., 529 + 529 = 23^2 + 23^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23.

It is a super-2 number, since 2×1058² = 2238728, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 14.

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

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

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 2 ways as a sum of consecutive naturals, for example, 35 + ... + 57.

2¹⁰⁵⁸ is an apocalyptic number.

1058 is a deficient number, since it is larger than the sum of its proper divisors (601).

1058 is an equidigital number, since it uses as much as digits as its factorization.

1058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1058 is about 32.5269119346. The cubic root of 1058 is about 10.1897115276.

Adding to 1058 its reverse (8501), we get a palindrome (9559).

The spelling of 1058 in words is "one thousand, fifty-eight".