9997629 has 16 divisors (see below), whose sum is σ = 14361600. Its totient is φ = 6165936.

The previous prime is 9997627. The next prime is 9997643. The reversal of 9997629 is 9267999.

9997629 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9997629 - 2¹ = 9997627 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412 + ... + 4490.

It is an arithmetic number, because the mean of its divisors is an integer number (897600).

Almost surely, 2^9997629 is an apocalyptic number.

It is an amenable number.

9997629 is a deficient number, since it is larger than the sum of its proper divisors (4363971).

9997629 is a wasteful number, since it uses less digits than its factorization.

9997629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144.

The product of its digits is 551124, while the sum is 51.

The square root of 9997629 is about 3161.9027499276. The cubic root of 9997629 is about 215.4264404418.

The spelling of 9997629 in words is "nine million, nine hundred ninety-seven thousand, six hundred twenty-nine".