972265657733 has 12 divisors (see below), whose sum is σ = 999409968900. Its totient is φ = 945839901312.

The previous prime is 972265657717. The next prime is 972265657777. The reversal of 972265657733 is 337756562279.

It is a happy number.

972265657733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24900208804 + 947365448929 = 157798^2 + 973327^2 .

It is not a de Polignac number, because 972265657733 - 2⁴ = 972265657717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972265657633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9247343 + ... + 9351891.

It is an arithmetic number, because the mean of its divisors is an integer number (83284164075).

Almost surely, 2^972265657733 is an apocalyptic number.

It is an amenable number.

972265657733 is a deficient number, since it is larger than the sum of its proper divisors (27144311167).

972265657733 is a wasteful number, since it uses less digits than its factorization.

972265657733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111416 (or 111379 counting only the distinct ones).

The product of its digits is 100018800, while the sum is 62.

The spelling of 972265657733 in words is "nine hundred seventy-two billion, two hundred sixty-five million, six hundred fifty-seven thousand, seven hundred thirty-three".