102597133 has 2 divisors, whose sum is σ = 102597134. Its totient is φ = 102597132.

The previous prime is 102597127. The next prime is 102597139. The reversal of 102597133 is 331795201.

It is a balanced prime because it is at equal distance from previous prime (102597127) and next prime (102597139).

It can be written as a sum of positive squares in only one way, i.e., 82410084 + 20187049 = 9078^2 + 4493^2 .

It is a cyclic number.

It is not a de Polignac number, because 102597133 - 2⁹ = 102596621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102597095 and 102597104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102597139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51298566 + 51298567.

It is an arithmetic number, because the mean of its divisors is an integer number (51298567).

Almost surely, 2^102597133 is an apocalyptic number.

It is an amenable number.

102597133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102597133 is an equidigital number, since it uses as much as digits as its factorization.

102597133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 102597133 is about 10129.0242866724. The cubic root of 102597133 is about 468.1428646191.

The spelling of 102597133 in words is "one hundred two million, five hundred ninety-seven thousand, one hundred thirty-three".