961361 has 4 divisors (see below), whose sum is σ = 967092. Its totient is φ = 955632.

The previous prime is 961339. The next prime is 961393. The reversal of 961361 is 163169.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 70225 = 944^2 + 265^2 .

It is a cyclic number.

It is not a de Polignac number, because 961361 - 2¹⁸ = 699217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 961361.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961361.

It is not an unprimeable number, because it can be changed into a prime (961661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2606 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (241773).

2⁹⁶¹³⁶¹ is an apocalyptic number.

It is an amenable number.

961361 is a deficient number, since it is larger than the sum of its proper divisors (5731).

961361 is a wasteful number, since it uses less digits than its factorization.

961361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730.

The product of its digits is 972, while the sum is 26.

The square root of 961361 is about 980.4901835307. The cubic root of 961361 is about 98.6950792190.

It can be divided in two parts, 961 and 361, that multiplied together give a square (346921 = 589²).

The spelling of 961361 in words is "nine hundred sixty-one thousand, three hundred sixty-one".