972540738 has 24 divisors (see below), whose sum is σ = 2269262268. Its totient is φ = 299243232.

The previous prime is 972540691. The next prime is 972540749. The reversal of 972540738 is 837045279.

972540738 is a `hidden beast` number, since 9 + 72 + 540 + 7 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 681053409 + 291487329 = 26097^2 + 17073^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 972540693 and 972540702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2077845 + ... + 2078312.

Almost surely, 2^972540738 is an apocalyptic number.

972540738 is an abundant number, since it is smaller than the sum of its proper divisors (1296721530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972540738 is a wasteful number, since it uses less digits than its factorization.

972540738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156178 (or 4156175 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 972540738 is about 31185.5854201905. The cubic root of 972540738 is about 990.7618317202.

The spelling of 972540738 in words is "nine hundred seventy-two million, five hundred forty thousand, seven hundred thirty-eight".