41588 has 12 divisors (see below), whose sum is σ = 75012. Its totient is φ = 20160.

The previous prime is 41579. The next prime is 41593. The reversal of 41588 is 88514.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 8464 = 182^2 + 92^2 .

Its product of digits (1280) is a multiple of the sum of its prime divisors (320).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (6251).

2⁴¹⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

41588 is a deficient number, since it is larger than the sum of its proper divisors (33424).

41588 is a wasteful number, since it uses less digits than its factorization.

41588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 41588 is about 203.9313610017. The cubic root of 41588 is about 34.6462322044.

Adding to 41588 its sum of digits (26), we get a palindrome (41614).

The spelling of 41588 in words is "forty-one thousand, five hundred eighty-eight".