Search a number
-
+
97328401 is a prime number
BaseRepresentation
bin1011100110100…
…01110100010001
320210010210110121
411303101310101
5144404002101
613354030241
72261164162
oct563216421
9223123417
1097328401
114aa372a5
1228718381
1317219791
14ccd7769
1588280a1
hex5cd1d11

97328401 has 2 divisors, whose sum is σ = 97328402. Its totient is φ = 97328400.

The previous prime is 97328339. The next prime is 97328423. The reversal of 97328401 is 10482379.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94556176 + 2772225 = 9724^2 + 1665^2 .

It is an emirp because it is prime and its reverse (10482379) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97328401 - 29 = 97327889 is a prime.

It is not a weakly prime, because it can be changed into another prime (97328461) 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, 48664200 + 48664201.

It is an arithmetic number, because the mean of its divisors is an integer number (48664201).

Almost surely, 297328401 is an apocalyptic number.

97328401 is the 6240-th centered pentagonal number.

It is an amenable number.

97328401 is a deficient number, since it is larger than the sum of its proper divisors (1).

97328401 is an equidigital number, since it uses as much as digits as its factorization.

97328401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 97328401 is about 9865.5157493159. The cubic root of 97328401 is about 459.9880289890.

The spelling of 97328401 in words is "ninety-seven million, three hundred twenty-eight thousand, four hundred one".