961248017 has 8 divisors (see below), whose sum is σ = 1018807272. Its totient is φ = 903801600.

The previous prime is 961247953. The next prime is 961248047. The reversal of 961248017 is 710842169.

It is a Cunningham number, because it is equal to 31004²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 559606336 + 401641681 = 23656^2 + 20041^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 961248017 - 2⁶ = 961247953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961248047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10334 + ... + 45047.

It is an arithmetic number, because the mean of its divisors is an integer number (127350909).

Almost surely, 2^961248017 is an apocalyptic number.

It is an amenable number.

961248017 is a deficient number, since it is larger than the sum of its proper divisors (57559255).

961248017 is a wasteful number, since it uses less digits than its factorization.

961248017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56419.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 961248017 is about 31004.0000161270. Note that the first 4 decimals coincide. The cubic root of 961248017 is about 986.9121272034.

The spelling of 961248017 in words is "nine hundred sixty-one million, two hundred forty-eight thousand, seventeen".