171961 has 4 divisors (see below), whose sum is σ = 172800. Its totient is φ = 171124.

The previous prime is 171947. The next prime is 172001. The reversal of 171961 is 169171.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169171 = 167 ⋅1013.

It is a cyclic number.

It is not a de Polignac number, because 171961 - 2⁵ = 171929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120 + ... + 598.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2¹⁷¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

171961 is a deficient number, since it is larger than the sum of its proper divisors (839).

171961 is an equidigital number, since it uses as much as digits as its factorization.

171961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838.

The product of its digits is 378, while the sum is 25.

The square root of 171961 is about 414.6818057258. The cubic root of 171961 is about 55.6087740410.

The spelling of 171961 in words is "one hundred seventy-one thousand, nine hundred sixty-one".