973961 has 4 divisors (see below), whose sum is σ = 979524. Its totient is φ = 968400.

The previous prime is 973957. The next prime is 974003. The reversal of 973961 is 169379.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169379 = 7 ⋅24197.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 855625 = 344^2 + 925^2 .

It is a cyclic number.

It is not a de Polignac number, because 973961 - 2² = 973957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (973901) 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, 2510 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (244881).

2⁹⁷³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

973961 is a deficient number, since it is larger than the sum of its proper divisors (5563).

973961 is a wasteful number, since it uses less digits than its factorization.

973961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562.

The product of its digits is 10206, while the sum is 35.

The square root of 973961 is about 986.8946245674. The cubic root of 973961 is about 99.1243887605.

The spelling of 973961 in words is "nine hundred seventy-three thousand, nine hundred sixty-one".