171664 has 10 divisors (see below), whose sum is σ = 332630. Its totient is φ = 85824.

The previous prime is 171659. The next prime is 171671. The reversal of 171664 is 466171.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 11664 = 400^2 + 108^2 .

It is an unprimeable number.

171664 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 as a sum of consecutive naturals, namely, 5349 + ... + 5380.

It is an arithmetic number, because the mean of its divisors is an integer number (33263).

2¹⁷¹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

171664 is a deficient number, since it is larger than the sum of its proper divisors (160966).

171664 is a wasteful number, since it uses less digits than its factorization.

171664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737 (or 10731 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 171664 is about 414.3235450708. The cubic root of 171664 is about 55.5767409572.

It can be divided in two parts, 17 and 1664, that added together give a square (1681 = 41²).

The spelling of 171664 in words is "one hundred seventy-one thousand, six hundred sixty-four".