948961 has 4 divisors (see below), whose sum is σ = 1021972. Its totient is φ = 875952.

The previous prime is 948947. The next prime is 948971. The reversal of 948961 is 169849.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169849 = 31 ⋅5479.

It can be written as a sum of positive squares in 2 ways, for example, as 216225 + 732736 = 465^2 + 856^2 .

It is a cyclic number.

It is not a de Polignac number, because 948961 - 2⁵ = 948929 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 948961.

It is not an unprimeable number, because it can be changed into a prime (948901) 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, 36486 + ... + 36511.

It is an arithmetic number, because the mean of its divisors is an integer number (255493).

2⁹⁴⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

948961 is a deficient number, since it is larger than the sum of its proper divisors (73011).

948961 is a wasteful number, since it uses less digits than its factorization.

948961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73010.

The product of its digits is 15552, while the sum is 37.

The square root of 948961 is about 974.1462929150. The cubic root of 948961 is about 98.2689060557.

The spelling of 948961 in words is "nine hundred forty-eight thousand, nine hundred sixty-one".