171953 has 4 divisors (see below), whose sum is σ = 172788. Its totient is φ = 171120.

The previous prime is 171947. The next prime is 172001. The reversal of 171953 is 359171.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 97969 = 272^2 + 313^2 .

It is a cyclic number.

It is not a de Polignac number, because 171953 - 2⁴ = 171937 is a prime.

It is a super-3 number, since 3×171953³ = 15252833387220531, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (43197).

2¹⁷¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

171953 is a deficient number, since it is larger than the sum of its proper divisors (835).

171953 is an equidigital number, since it uses as much as digits as its factorization.

171953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834.

The product of its digits is 945, while the sum is 26.

The square root of 171953 is about 414.6721596635. The cubic root of 171953 is about 55.6079116806.

The spelling of 171953 in words is "one hundred seventy-one thousand, nine hundred fifty-three".