Search a number
-
+
102397 is a prime number
BaseRepresentation
bin11000111111111101
312012110111
4120333331
511234042
62110021
7604351
oct307775
9165414
10102397
116aa29
124b311
13377b9
1429461
1520517
hex18ffd

102397 has 2 divisors, whose sum is σ = 102398. Its totient is φ = 102396.

The previous prime is 102367. The next prime is 102407. The reversal of 102397 is 793201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89401 + 12996 = 299^2 + 114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102397 is a prime.

It is equal to p9805 and since 102397 and 9805 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102317) 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 as a sum of consecutive naturals, namely, 51198 + 51199.

It is an arithmetic number, because the mean of its divisors is an integer number (51199).

2102397 is an apocalyptic number.

It is an amenable number.

102397 is a deficient number, since it is larger than the sum of its proper divisors (1).

102397 is an equidigital number, since it uses as much as digits as its factorization.

102397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 102397 is about 319.9953124657. The cubic root of 102397 is about 46.7838269292.

Adding to 102397 its reverse (793201), we get a palindrome (895598).

The spelling of 102397 in words is "one hundred two thousand, three hundred ninety-seven".