Search a number
-
+
97853057 is a prime number
BaseRepresentation
bin1011101010100…
…01111010000001
320211010110011022
411311101322001
5200022244212
613413155225
72265510611
oct565217201
9224113138
1097853057
11502654a5
122892bb15
1317371523
14cdd2a41
1588cd772
hex5d51e81

97853057 has 2 divisors, whose sum is σ = 97853058. Its totient is φ = 97853056.

The previous prime is 97853051. The next prime is 97853131. The reversal of 97853057 is 75035879.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89038096 + 8814961 = 9436^2 + 2969^2 .

It is an emirp because it is prime and its reverse (75035879) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97853057 - 28 = 97852801 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 97852999 and 97853017.

It is not a weakly prime, because it can be changed into another prime (97853051) 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, 48926528 + 48926529.

It is an arithmetic number, because the mean of its divisors is an integer number (48926529).

Almost surely, 297853057 is an apocalyptic number.

It is an amenable number.

97853057 is a deficient number, since it is larger than the sum of its proper divisors (1).

97853057 is an equidigital number, since it uses as much as digits as its factorization.

97853057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The square root of 97853057 is about 9892.0704101821. The cubic root of 97853057 is about 460.8130815097.

The spelling of 97853057 in words is "ninety-seven million, eight hundred fifty-three thousand, fifty-seven".