55629 has 12 divisors (see below), whose sum is σ = 91936. Its totient is φ = 31752.

The previous prime is 55621. The next prime is 55631. The reversal of 55629 is 92655.

It is not a de Polignac number, because 55629 - 2³ = 55621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379 + ... + 504.

2⁵⁵⁶²⁹ is an apocalyptic number.

It is an amenable number.

55629 is a deficient number, since it is larger than the sum of its proper divisors (36307).

55629 is a wasteful number, since it uses less digits than its factorization.

55629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 55629 is about 235.8580081320. The cubic root of 55629 is about 38.1739485946.

It can be divided in two parts, 556 and 29, that added together give a palindrome (585).

The spelling of 55629 in words is "fifty-five thousand, six hundred twenty-nine".