171396 has 45 divisors (see below), whose sum is σ = 468391. Its totient is φ = 54648.

The previous prime is 171383. The next prime is 171401. The reversal of 171396 is 693171.

171396 = T₄₁₃ + T₄₁₄.

The square root of 171396 is 414.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 171396.

It is an unprimeable number.

171396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7441 + ... + 7463.

171396 is a Friedman number, since it can be written as (69*(7-1))^(3-1), using all its digits and the basic arithmetic operations.

2¹⁷¹³⁹⁶ is an apocalyptic number.

171396 is the 414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171396

171396 is an abundant number, since it is smaller than the sum of its proper divisors (296995).

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

171396 is a wasteful number, since it uses less digits than its factorization.

171396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The cubic root of 171396 is about 55.5478039555.

It can be divided in two parts, 17 and 1396, that multiplied together give a palindrome (23732).

The spelling of 171396 in words is "one hundred seventy-one thousand, three hundred ninety-six".