178961 has 4 divisors (see below), whose sum is σ = 188400. Its totient is φ = 169524.

The previous prime is 178951. The next prime is 178973. The reversal of 178961 is 169871.

178961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a cyclic number.

It is not a de Polignac number, because 178961 - 2⁶ = 178897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (178921) 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, 4691 + ... + 4728.

It is an arithmetic number, because the mean of its divisors is an integer number (47100).

2¹⁷⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

178961 is a deficient number, since it is larger than the sum of its proper divisors (9439).

178961 is an equidigital number, since it uses as much as digits as its factorization.

178961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9438.

The product of its digits is 3024, while the sum is 32.

The square root of 178961 is about 423.0378233681. The cubic root of 178961 is about 56.3533146520.

Subtracting from 178961 its sum of digits (32), we obtain a square (178929 = 423²).

The spelling of 178961 in words is "one hundred seventy-eight thousand, nine hundred sixty-one".