170961 has 12 divisors (see below), whose sum is σ = 265392. Its totient is φ = 97608.

The previous prime is 170957. The next prime is 170971. The reversal of 170961 is 169071.

It is not a de Polignac number, because 170961 - 2² = 170957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (170921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (22116).

2¹⁷⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

170961 is a deficient number, since it is larger than the sum of its proper divisors (94431).

170961 is a wasteful number, since it uses less digits than its factorization.

170961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 170961 is about 413.4743039174. The cubic root of 170961 is about 55.5007710306.

It can be divided in two parts, 1709 and 61, that added together give a triangular number (1770 = T₅₉).

The spelling of 170961 in words is "one hundred seventy thousand, nine hundred sixty-one".