117629 has 8 divisors (see below), whose sum is σ = 127680. Its totient is φ = 108000.

The previous prime is 117619. The next prime is 117643. The reversal of 117629 is 926711.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 117629 - 2⁸ = 117373 is a prime.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 117598 and 117607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

117629 is a Friedman number, since it can be written as 7^6-2-9*(1+1), using all its digits and the basic arithmetic operations.

2¹¹⁷⁶²⁹ is an apocalyptic number.

117629 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

117629 is a deficient number, since it is larger than the sum of its proper divisors (10051).

117629 is a wasteful number, since it uses less digits than its factorization.

117629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its digits is 756, while the sum is 26.

The square root of 117629 is about 342.9708442419. The cubic root of 117629 is about 48.9972232218.

The spelling of 117629 in words is "one hundred seventeen thousand, six hundred twenty-nine".