172031 has 2 divisors, whose sum is σ = 172032. Its totient is φ = 172030.

The previous prime is 172027. The next prime is 172049. The reversal of 172031 is 130271.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 172031 - 2² = 172027 is a prime.

It is a super-2 number, since 2×172031² = 59189329922, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 14 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 171997 and 172015.

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 172031.

It is not a weakly prime, because it can be changed into another prime (172001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86015 + 86016.

It is an arithmetic number, because the mean of its divisors is an integer number (86016).

2¹⁷²⁰³¹ is an apocalyptic number.

172031 is a deficient number, since it is larger than the sum of its proper divisors (1).

172031 is an equidigital number, since it uses as much as digits as its factorization.

172031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 172031 is about 414.7661992014. The cubic root of 172031 is about 55.6163185543.

It can be divided in two parts, 17 and 2031, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 172031 in words is "one hundred seventy-two thousand, thirty-one".