16005258 has 48 divisors (see below), whose sum is σ = 37234080. Its totient is φ = 4953312.

The previous prime is 16005257. The next prime is 16005259. The reversal of 16005258 is 85250061.

16005258 is a `hidden beast` number, since 1 + 600 + 5 + 2 + 58 = 666.

It is an interprime number because it is at equal distance from previous prime (16005257) and next prime (16005259).

It is not an unprimeable number, because it can be changed into a prime (16005257) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17685 + ... + 18567.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 2^16005258 is an apocalyptic number.

16005258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16005258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

16005258 is an abundant number, since it is smaller than the sum of its proper divisors (21228822).

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

16005258 is a wasteful number, since it uses less digits than its factorization.

16005258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 16005258 is about 4000.6571960117. The cubic root of 16005258 is about 252.0118097262.

The spelling of 16005258 in words is "sixteen million, five thousand, two hundred fifty-eight".