978961 has 4 divisors (see below), whose sum is σ = 981172. Its totient is φ = 976752.

The previous prime is 978947. The next prime is 978973. The reversal of 978961 is 169879.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169879 = 19 ⋅8941.

It can be written as a sum of positive squares in 2 ways, for example, as 65025 + 913936 = 255^2 + 956^2 .

It is a cyclic number.

It is not a de Polignac number, because 978961 - 2⁹ = 978449 is a prime.

It is a Duffinian number.

978961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (978931) 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, 186 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (245293).

2⁹⁷⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

978961 is a deficient number, since it is larger than the sum of its proper divisors (2211).

978961 is a wasteful number, since it uses less digits than its factorization.

978961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210.

The product of its digits is 27216, while the sum is 40.

The square root of 978961 is about 989.4245802485. The cubic root of 978961 is about 99.2937234784.

It can be divided in two parts, 9 and 78961, that multiplied together give a square (710649 = 843²).

The spelling of 978961 in words is "nine hundred seventy-eight thousand, nine hundred sixty-one".