Search a number
-
+
98957653 is a prime number
BaseRepresentation
bin1011110010111…
…11100101010101
320220012120101021
411321133211111
5200313121103
613453001141
72311061164
oct571374525
9226176337
1098957653
115094a393
12291831b1
131766a232
14d1dd3db
158a4abbd
hex5e5f955

98957653 has 2 divisors, whose sum is σ = 98957654. Its totient is φ = 98957652.

The previous prime is 98957609. The next prime is 98957669. The reversal of 98957653 is 35675989.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55621764 + 43335889 = 7458^2 + 6583^2 .

It is an emirp because it is prime and its reverse (35675989) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-98957653 is a prime.

It is a super-3 number, since 3×989576533 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98957653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (98957693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49478826 + 49478827.

It is an arithmetic number, because the mean of its divisors is an integer number (49478827).

Almost surely, 298957653 is an apocalyptic number.

It is an amenable number.

98957653 is a deficient number, since it is larger than the sum of its proper divisors (1).

98957653 is an equidigital number, since it uses as much as digits as its factorization.

98957653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2041200, while the sum is 52.

The square root of 98957653 is about 9947.7461266359. The cubic root of 98957653 is about 462.5405319238.

The spelling of 98957653 in words is "ninety-eight million, nine hundred fifty-seven thousand, six hundred fifty-three".