901629 has 24 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 551040.

The previous prime is 901613. The next prime is 901643. The reversal of 901629 is 926109.

It is a happy number.

It is not a de Polignac number, because 901629 - 2⁴ = 901613 is a prime.

It is a Curzon number.

901629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901679) 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 in 23 ways as a sum of consecutive naturals, for example, 10822 + ... + 10904.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

2⁹⁰¹⁶²⁹ is an apocalyptic number.

It is an amenable number.

901629 is a deficient number, since it is larger than the sum of its proper divisors (513603).

901629 is a wasteful number, since it uses less digits than its factorization.

901629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 174 counting only the distinct ones).

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

The square root of 901629 is about 949.5414682888. The cubic root of 901629 is about 96.6071545438.

It can be divided in two parts, 9016 and 29, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 901629 in words is "nine hundred one thousand, six hundred twenty-nine".