Search a number
-
+
997101517 is a prime number
BaseRepresentation
bin111011011011101…
…000111111001101
32120111020000010211
4323123220333031
54020224222032
6242535202421
733465136336
oct7333507715
92514200124
10997101517
11471924145
12239b16411
1312b763ac9
14965d528d
155c80c747
hex3b6e8fcd

997101517 has 2 divisors, whose sum is σ = 997101518. Its totient is φ = 997101516.

The previous prime is 997101473. The next prime is 997101529. The reversal of 997101517 is 715101799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996917476 + 184041 = 31574^2 + 429^2 .

It is a cyclic number.

It is not a de Polignac number, because 997101517 - 227 = 862883789 is a prime.

It is a super-2 number, since 2×9971015172 = 1988422870407402578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 997101517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (997101317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498550758 + 498550759.

It is an arithmetic number, because the mean of its divisors is an integer number (498550759).

Almost surely, 2997101517 is an apocalyptic number.

It is an amenable number.

997101517 is a deficient number, since it is larger than the sum of its proper divisors (1).

997101517 is an equidigital number, since it uses as much as digits as its factorization.

997101517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 40.

The square root of 997101517 is about 31576.9143045992. The cubic root of 997101517 is about 999.0329040269.

The spelling of 997101517 in words is "nine hundred ninety-seven million, one hundred one thousand, five hundred seventeen".