40635629 has 2 divisors, whose sum is σ = 40635630. Its totient is φ = 40635628.

The previous prime is 40635619. The next prime is 40635631. The reversal of 40635629 is 92653604.

40635629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38316100 + 2319529 = 6190^2 + 1523^2 .

It is a cyclic number.

It is not a de Polignac number, because 40635629 - 2⁴ = 40635613 is a prime.

Together with 40635631, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_2469914 and since 40635629 and 2469914 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40635619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20317814 + 20317815.

It is an arithmetic number, because the mean of its divisors is an integer number (20317815).

Almost surely, 2^40635629 is an apocalyptic number.

It is an amenable number.

40635629 is a deficient number, since it is larger than the sum of its proper divisors (1).

40635629 is an equidigital number, since it uses as much as digits as its factorization.

40635629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 40635629 is about 6374.6081448196. The cubic root of 40635629 is about 343.7971948865.

The spelling of 40635629 in words is "forty million, six hundred thirty-five thousand, six hundred twenty-nine".