41631629 has 12 divisors (see below), whose sum is σ = 45362772. Its totient is φ = 38188800.

The previous prime is 41631607. The next prime is 41631661. The reversal of 41631629 is 92613614.

It can be written as a sum of positive squares in 6 ways, for example, as 25989604 + 15642025 = 5098^2 + 3955^2 .

It is not a de Polignac number, because 41631629 - 2¹² = 41627533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41631595 and 41631604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41631229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29909 + ... + 31269.

It is an arithmetic number, because the mean of its divisors is an integer number (3780231).

Almost surely, 2^41631629 is an apocalyptic number.

It is an amenable number.

41631629 is a deficient number, since it is larger than the sum of its proper divisors (3731143).

41631629 is a wasteful number, since it uses less digits than its factorization.

41631629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1555 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 41631629 is about 6452.2576668946. The cubic root of 41631629 is about 346.5834348794.

The spelling of 41631629 in words is "forty-one million, six hundred thirty-one thousand, six hundred twenty-nine".