968973205 has 8 divisors (see below), whose sum is σ = 1194194232. Its totient is φ = 754227648.

The previous prime is 968973149. The next prime is 968973209. The reversal of 968973205 is 502379869.

It can be written as a sum of positive squares in 4 ways, for example, as 477597316 + 491375889 = 21854^2 + 22167^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-968973205 is a prime.

It is a super-3 number, since 3×968973205³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968973209) 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, 2618662 + ... + 2619031.

It is an arithmetic number, because the mean of its divisors is an integer number (149274279).

Almost surely, 2^968973205 is an apocalyptic number.

It is an amenable number.

968973205 is a deficient number, since it is larger than the sum of its proper divisors (225221027).

968973205 is a wasteful number, since it uses less digits than its factorization.

968973205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237735.

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 968973205 is about 31128.3344398636. The cubic root of 968973205 is about 989.5488898057.

The spelling of 968973205 in words is "nine hundred sixty-eight million, nine hundred seventy-three thousand, two hundred five".