123629 has 4 divisors (see below), whose sum is σ = 134880. Its totient is φ = 112380.

The previous prime is 123619. The next prime is 123631. The reversal of 123629 is 926321.

123629 = 202² + 203² + 204².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 926321 = 11 ⋅84211.

It is a cyclic number.

It is not a de Polignac number, because 123629 - 2⁸ = 123373 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5609 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (33720).

2¹²³⁶²⁹ is an apocalyptic number.

It is an amenable number.

123629 is a deficient number, since it is larger than the sum of its proper divisors (11251).

123629 is a wasteful number, since it uses less digits than its factorization.

123629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250.

The product of its digits is 648, while the sum is 23.

The square root of 123629 is about 351.6091580150. The cubic root of 123629 is about 49.8165275809.

The spelling of 123629 in words is "one hundred twenty-three thousand, six hundred twenty-nine".