45642629 has 2 divisors, whose sum is σ = 45642630. Its totient is φ = 45642628.

The previous prime is 45642581. The next prime is 45642631. The reversal of 45642629 is 92624654.

45642629 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., 38725729 + 6916900 = 6223^2 + 2630^2 .

It is a cyclic number.

It is not a de Polignac number, because 45642629 - 2¹⁶ = 45577093 is a prime.

Together with 45642631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45642592 and 45642601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45642659) 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, 22821314 + 22821315.

It is an arithmetic number, because the mean of its divisors is an integer number (22821315).

Almost surely, 2^45642629 is an apocalyptic number.

It is an amenable number.

45642629 is a deficient number, since it is larger than the sum of its proper divisors (1).

45642629 is an equidigital number, since it uses as much as digits as its factorization.

45642629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 38.

The square root of 45642629 is about 6755.9328741485. The cubic root of 45642629 is about 357.3744916167.

The spelling of 45642629 in words is "forty-five million, six hundred forty-two thousand, six hundred twenty-nine".