9993629 has 2 divisors, whose sum is σ = 9993630. Its totient is φ = 9993628.

The previous prime is 9993623. The next prime is 9993649. The reversal of 9993629 is 9263999.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6100900 + 3892729 = 2470^2 + 1973^2 .

It is an emirp because it is prime and its reverse (9263999) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9993629 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9993623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996814 + 4996815.

It is an arithmetic number, because the mean of its divisors is an integer number (4996815).

Almost surely, 2^9993629 is an apocalyptic number.

It is an amenable number.

9993629 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993629 is an equidigital number, since it uses as much as digits as its factorization.

9993629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 236196, while the sum is 47.

The square root of 9993629 is about 3161.2701561240. The cubic root of 9993629 is about 215.3977062720.

The spelling of 9993629 in words is "nine million, nine hundred ninety-three thousand, six hundred twenty-nine".