42633629 has 2 divisors, whose sum is σ = 42633630. Its totient is φ = 42633628.

The previous prime is 42633607. The next prime is 42633631. The reversal of 42633629 is 92633624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42549529 + 84100 = 6523^2 + 290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42633629 is a prime.

Together with 42633631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42630629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21316814 + 21316815.

It is an arithmetic number, because the mean of its divisors is an integer number (21316815).

Almost surely, 2^42633629 is an apocalyptic number.

It is an amenable number.

42633629 is a deficient number, since it is larger than the sum of its proper divisors (1).

42633629 is an equidigital number, since it uses as much as digits as its factorization.

42633629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 35.

The square root of 42633629 is about 6529.4432381329. The cubic root of 42633629 is about 349.3419717925.

The spelling of 42633629 in words is "forty-two million, six hundred thirty-three thousand, six hundred twenty-nine".