97138512 has 60 divisors (see below), whose sum is σ = 278500404. Its totient is φ = 31587840.

The previous prime is 97138439. The next prime is 97138513. The reversal of 97138512 is 21583179.

97138512 is a `hidden beast` number, since 9 + 7 + 138 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45643536 + 51494976 = 6756^2 + 7176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97138513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2323 + ... + 14130.

Almost surely, 2^97138512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97138512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139250202).

97138512 is an abundant number, since it is smaller than the sum of its proper divisors (181361892).

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

97138512 is a wasteful number, since it uses less digits than its factorization.

97138512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 16499 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 97138512 is about 9855.8871746789. The cubic root of 97138512 is about 459.6886866511.

It can be divided in two parts, 9713 and 8512, that added together give a square (18225 = 135²).

The spelling of 97138512 in words is "ninety-seven million, one hundred thirty-eight thousand, five hundred twelve".