171392 has 32 divisors (see below), whose sum is σ = 371280. Its totient is φ = 78336.

The previous prime is 171383. The next prime is 171401. The reversal of 171392 is 293171.

171392 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (171383) and next prime (171401).

It is a tau number, because it is divible by the number of its divisors (32).

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 171392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1613 + ... + 1715.

2¹⁷¹³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185640).

171392 is an abundant number, since it is smaller than the sum of its proper divisors (199888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171392 is a wasteful number, since it uses less digits than its factorization.

171392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 171392 is about 413.9951690539. The cubic root of 171392 is about 55.5473718316.

The spelling of 171392 in words is "one hundred seventy-one thousand, three hundred ninety-two".