972016038 has 168 divisors, whose sum is σ = 2697923592. Its totient is φ = 261382464.

The previous prime is 972016013. The next prime is 972016039. The reversal of 972016038 is 830610279.

972016038 is a modest number, since divided by 16038 gives 972 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 972015993 and 972016011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972016039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 57177406 + ... + 57177422.

It is an arithmetic number, because the mean of its divisors is an integer number (16059069).

Almost surely, 2^972016038 is an apocalyptic number.

972016038 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 972016038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348961796).

972016038 is an abundant number, since it is smaller than the sum of its proper divisors (1725907554).

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

972016038 is an frugal number, since it uses more digits than its factorization.

972016038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 972016038 is about 31177.1717447237. The cubic root of 972016038 is about 990.5836228184.

The spelling of 972016038 in words is "nine hundred seventy-two million, sixteen thousand, thirty-eight".