172961 has 4 divisors (see below), whose sum is σ = 173892. Its totient is φ = 172032.

The previous prime is 172933. The next prime is 172969. The reversal of 172961 is 169271.

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 126736 + 46225 = 356^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 172961 - 2¹⁰ = 171937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 172961.

It is not an unprimeable number, because it can be changed into a prime (172969) 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, 80 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (43473).

2¹⁷²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

172961 is a deficient number, since it is larger than the sum of its proper divisors (931).

172961 is an equidigital number, since it uses as much as digits as its factorization.

172961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930.

The product of its digits is 756, while the sum is 26.

The square root of 172961 is about 415.8858016331. The cubic root of 172961 is about 55.7163591477.

The spelling of 172961 in words is "one hundred seventy-two thousand, nine hundred sixty-one".