968301 has 8 divisors (see below), whose sum is σ = 1434560. Its totient is φ = 645516.

The previous prime is 968299. The next prime is 968311. The reversal of 968301 is 103869.

It is not a de Polignac number, because 968301 - 2¹ = 968299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 35863 = 968301 / (9 + 6 + 8 + 3 + 0 + 1).

It is a Duffinian number.

968301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968311) 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, 17905 + ... + 17958.

It is an arithmetic number, because the mean of its divisors is an integer number (179320).

2⁹⁶⁸³⁰¹ is an apocalyptic number.

It is an amenable number.

968301 is a deficient number, since it is larger than the sum of its proper divisors (466259).

968301 is a wasteful number, since it uses less digits than its factorization.

968301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35872 (or 35866 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 968301 is about 984.0228655880. The cubic root of 968301 is about 98.9320010553.

The spelling of 968301 in words is "nine hundred sixty-eight thousand, three hundred one".