360961 has 6 divisors (see below), whose sum is σ = 383750. Its totient is φ = 339456.

The previous prime is 360959. The next prime is 360973. The reversal of 360961 is 169063.

It can be written as a sum of positive squares in 3 ways, for example, as 129600 + 231361 = 360^2 + 481^2 .

It is not a de Polignac number, because 360961 - 2¹ = 360959 is a prime.

It is an Ulam number.

It is a Duffinian number.

360961 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336 + ... + 913.

2³⁶⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

360961 is a deficient number, since it is larger than the sum of its proper divisors (22789).

360961 is a wasteful number, since it uses less digits than its factorization.

360961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 360961 is about 600.8002996005. The cubic root of 360961 is about 71.2011093755.

The spelling of 360961 in words is "three hundred sixty thousand, nine hundred sixty-one".