41925825 has 72 divisors (see below), whose sum is σ = 81041688. Its totient is φ = 20643840.

The previous prime is 41925823. The next prime is 41925839. The reversal of 41925825 is 52852914.

It can be written as a sum of positive squares in 12 ways, for example, as 19000881 + 22924944 = 4359^2 + 4788^2 .

It is not a de Polignac number, because 41925825 - 2¹ = 41925823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41925825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41925823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370969 + ... + 371081.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 2^41925825 is an apocalyptic number.

41925825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41925825 is a deficient number, since it is larger than the sum of its proper divisors (39115863).

41925825 is a wasteful number, since it uses less digits than its factorization.

41925825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 41925825 is about 6475.0154439970. The cubic root of 41925825 is about 347.3979135283.

It can be divided in two parts, 419 and 25825, that added together give a square (26244 = 162²).

The spelling of 41925825 in words is "forty-one million, nine hundred twenty-five thousand, eight hundred twenty-five".