Search a number
-
+
249497 is a prime number
BaseRepresentation
bin111100111010011001
3110200020122
4330322121
530440442
65203025
72056253
oct747231
9420218
10249497
111604a6
12100475
1389741
1466cd3
154ddd2
hex3ce99

249497 has 2 divisors, whose sum is σ = 249498. Its totient is φ = 249496.

The previous prime is 249463. The next prime is 249499. The reversal of 249497 is 794942.

249497 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246016 + 3481 = 496^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 249497 - 26 = 249433 is a prime.

Together with 249499, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 217 + 43 + 44 + 95 + 95 + 7 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249497.

It is not a weakly prime, because it can be changed into another prime (249499) 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, 124748 + 124749.

It is an arithmetic number, because the mean of its divisors is an integer number (124749).

2249497 is an apocalyptic number.

It is an amenable number.

249497 is a deficient number, since it is larger than the sum of its proper divisors (1).

249497 is an equidigital number, since it uses as much as digits as its factorization.

249497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 249497 is about 499.4967467362. The cubic root of 249497 is about 62.9537747753.

It can be divided in two parts, 249 and 497, that multiplied together give a triangular number (123753 = T497).

The spelling of 249497 in words is "two hundred forty-nine thousand, four hundred ninety-seven".