166829 has 8 divisors (see below), whose sum is σ = 184632. Its totient is φ = 149760.

The previous prime is 166823. The next prime is 166841. The reversal of 166829 is 928661.

It can be written as a sum of positive squares in 4 ways, for example, as 29929 + 136900 = 173^2 + 370^2 .

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

It is not a de Polignac number, because 166829 - 2¹⁶ = 101293 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 166795 and 166804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166823) 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, 377 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (23079).

2¹⁶⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

166829 is a deficient number, since it is larger than the sum of its proper divisors (17803).

166829 is a wasteful number, since it uses less digits than its factorization.

166829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367.

The product of its digits is 5184, while the sum is 32.

The square root of 166829 is about 408.4470589930. The cubic root of 166829 is about 55.0499821124.

The spelling of 166829 in words is "one hundred sixty-six thousand, eight hundred twenty-nine".