172029 has 16 divisors (see below), whose sum is σ = 270144. Its totient is φ = 96000.

The previous prime is 172027. The next prime is 172031. The reversal of 172029 is 920271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (172027) and next prime (172031).

It is not a de Polignac number, because 172029 - 2¹ = 172027 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 171996 and 172014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172029.

It is not an unprimeable number, because it can be changed into a prime (172021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (16884).

2¹⁷²⁰²⁹ is an apocalyptic number.

It is an amenable number.

172029 is a deficient number, since it is larger than the sum of its proper divisors (98115).

172029 is a wasteful number, since it uses less digits than its factorization.

172029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 172029 is about 414.7637881976. The cubic root of 172029 is about 55.6161030251.

The spelling of 172029 in words is "one hundred seventy-two thousand, twenty-nine".