972878481 has 27 divisors (see below), whose sum is σ = 1449433713. Its totient is φ = 628810560.

The previous prime is 972878479. The next prime is 972878537. The reversal of 972878481 is 184878279.

It is a happy number.

The square root of 972878481 is 31191.

It is a perfect power (a square), and thus also a powerful number.

972878481 is a `hidden beast` number, since 97 + 2 + 8 + 78 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342065025 + 630813456 = 18495^2 + 25116^2 .

It is not a de Polignac number, because 972878481 - 2¹ = 972878479 is a prime.

It is a super-2 number, since 2×972878481² = 1892985077585734722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (972878411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3462061 + ... + 3462341.

Almost surely, 2^972878481 is an apocalyptic number.

972878481 is the 31191-st square number.

972878481 is the 15596-th centered octagonal number.

It is an amenable number.

972878481 is a deficient number, since it is larger than the sum of its proper divisors (476555232).

972878481 is an equidigital number, since it uses as much as digits as its factorization.

972878481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The cubic root of 972878481 is about 990.8765087141.

It can be divided in two parts, 9728 and 78481, that added together give a square (88209 = 297²).

The spelling of 972878481 in words is "nine hundred seventy-two million, eight hundred seventy-eight thousand, four hundred eighty-one".