972456305 has 8 divisors (see below), whose sum is σ = 1167144552. Its totient is φ = 777833728.

The previous prime is 972456301. The next prime is 972456337. The reversal of 972456305 is 503654279.

It can be written as a sum of positive squares in 4 ways, for example, as 180821809 + 791634496 = 13447^2 + 28136^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 972456305 - 2² = 972456301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972456301) 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, 26249 + ... + 51321.

It is an arithmetic number, because the mean of its divisors is an integer number (145893069).

Almost surely, 2^972456305 is an apocalyptic number.

It is an amenable number.

972456305 is a deficient number, since it is larger than the sum of its proper divisors (194688247).

972456305 is a wasteful number, since it uses less digits than its factorization.

972456305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32835.

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 972456305 is about 31184.2316724334. The cubic root of 972456305 is about 990.7331592573.

The spelling of 972456305 in words is "nine hundred seventy-two million, four hundred fifty-six thousand, three hundred five".