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2058 = 2373

2058 has 16 divisors (see below), whose sum is σ = 4800. Its totient is φ = 588.

The previous prime is 2053. The next prime is 2063. The reversal of 2058 is 8502.

2058 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (2053) and next prime (2063).

It is a plaindrome in base 12.

It is a nialpdrome in base 7 and base 14.

It is not an unprimeable number, because it can be changed into a prime (2053) by changing a digit.

2058 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 291 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (300).

It is a practical number, because each smaller number is the sum of distinct divisors of 2058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400).

2058 is an abundant number, since it is smaller than the sum of its proper divisors (2742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2058 is an equidigital number, since it uses as much as digits as its factorization.

2058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2058 is about 45.3651848889. The cubic root of 2058 is about 12.7198441498.

It can be divided in two parts, 20 and 58, that added together give a triangular number (78 = T12).

The spelling of 2058 in words is "two thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058