41825 has 12 divisors (see below), whose sum is σ = 59520. Its totient is φ = 28560.

The previous prime is 41813. The next prime is 41843. The reversal of 41825 is 52814.

It is not a de Polignac number, because 41825 - 2⁴ = 41809 is a prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 41797 and 41806.

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 11 ways as a sum of consecutive naturals, for example, 56 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2⁴¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

41825 is a deficient number, since it is larger than the sum of its proper divisors (17695).

41825 is a wasteful number, since it uses less digits than its factorization.

41825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 41825 is about 204.5116133622. The cubic root of 41825 is about 34.7119210924.

It can be divided in two parts, 4182 and 5, that multiplied together give a triangular number (20910 = T₂₀₄).

The spelling of 41825 in words is "forty-one thousand, eight hundred twenty-five".