1629 has 6 divisors (see below), whose sum is σ = 2366. Its totient is φ = 1080.

The previous prime is 1627. The next prime is 1637. The reversal of 1629 is 9261.

It can be written as a sum of positive squares in only one way, i.e., 900 + 729 = 30^2 + 27^2 .

It is not a de Polignac number, because 1629 - 2¹ = 1627 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82 + ... + 99.

2¹⁶²⁹ is an apocalyptic number.

It is an amenable number.

1629 is a deficient number, since it is larger than the sum of its proper divisors (737).

1629 is a wasteful number, since it uses less digits than its factorization.

1629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1629 is about 40.3608721412. The cubic root of 1629 is about 11.7663120356.

Subtracting from 1629 its product of digits (108), we obtain a square (1521 = 39²).

It can be divided in two parts, 162 and 9, that added together give a palindrome (171).

The spelling of 1629 in words is "one thousand, six hundred twenty-nine".