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102497 is a prime number

102497 has 2 divisors, whose sum is σ = 102498. Its totient is φ = 102496.

The previous prime is 102481. The next prime is 102499. The reversal of 102497 is 794201.

Adding to 102497 its reverse (794201), we get a palindrome (896698).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96721 + 5776 = 311^2 + 76^2 .

It is an emirp because it is prime and its reverse (794201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102497 - 24 = 102481 is a prime.

Together with 102499, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102497.

It is not a weakly prime, because it can be changed into another prime (102499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51248 + 51249.

It is an arithmetic number, because the mean of its divisors is an integer number (51249).

102497 is a Friedman number, since it can be written as 10+7*(9+2)^4, using all its digits and the basic arithmetic operations.

2102497 is an apocalyptic number.

It is an amenable number.

102497 is a deficient number, since it is larger than the sum of its proper divisors (1).

102497 is an equidigital number, since it uses as much as digits as its factorization.

102497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 102497 is about 320.1515266245. The cubic root of 102497 is about 46.7990515307.

The spelling of 102497 in words is "one hundred two thousand, four hundred ninety-seven".