97852837 has 2 divisors, whose sum is σ = 97852838. Its totient is φ = 97852836.

The previous prime is 97852819. The next prime is 97852883. The reversal of 97852837 is 73825879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97792321 + 60516 = 9889^2 + 246^2 .

It is an emirp because it is prime and its reverse (73825879) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97852837 - 2¹¹ = 97850789 is a prime.

It is a super-3 number, since 3×97852837³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97852817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48926418 + 48926419.

It is an arithmetic number, because the mean of its divisors is an integer number (48926419).

Almost surely, 2^97852837 is an apocalyptic number.

It is an amenable number.

97852837 is a deficient number, since it is larger than the sum of its proper divisors (1).

97852837 is an equidigital number, since it uses as much as digits as its factorization.

97852837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 846720, while the sum is 49.

The square root of 97852837 is about 9892.0592901579. The cubic root of 97852837 is about 460.8127361655.

It can be divided in two parts, 97852 and 837, that added together give a palindrome (98689).

The spelling of 97852837 in words is "ninety-seven million, eight hundred fifty-two thousand, eight hundred thirty-seven".