9001629 has 48 divisors (see below), whose sum is σ = 16598400. Its totient is φ = 4572288.

The previous prime is 9001627. The next prime is 9001667. The reversal of 9001629 is 9261009.

9001629 = T₁ + T₂ + ... + T₃₇₇.

It is a happy number.

9001629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9001629 is a nontrivial binomial coefficient, being equal to C(379, 3).

It is not a de Polignac number, because 9001629 - 2¹ = 9001627 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 (9001621) by changing a digit.

It is the 377-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23562 + ... + 23940.

It is an arithmetic number, because the mean of its divisors is an integer number (345800).

Almost surely, 2^9001629 is an apocalyptic number.

It is an amenable number.

9001629 is a deficient number, since it is larger than the sum of its proper divisors (7596771).

9001629 is a wasteful number, since it uses less digits than its factorization.

9001629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9001629 is about 3000.2714877157. The cubic root of 9001629 is about 208.0209313872.

The spelling of 9001629 in words is "nine million, one thousand, six hundred twenty-nine".