Search a number
-
+
10057097 is a prime number
BaseRepresentation
bin100110010111…
…010110001001
3200220221202002
4212113112021
510033311342
6555320345
7151324661
oct46272611
920827662
1010057097
11574a056
1234500b5
13211185b
14149b1a1
15d39d32
hex997589

10057097 has 2 divisors, whose sum is σ = 10057098. Its totient is φ = 10057096.

The previous prime is 10057031. The next prime is 10057111. The reversal of 10057097 is 79075001.

10057097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9616201 + 440896 = 3101^2 + 664^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057097 - 28 = 10056841 is a prime.

It is a super-2 number, since 2×100570972 = 202290400134818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10057297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028548 + 5028549.

It is an arithmetic number, because the mean of its divisors is an integer number (5028549).

Almost surely, 210057097 is an apocalyptic number.

It is an amenable number.

10057097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057097 is an equidigital number, since it uses as much as digits as its factorization.

10057097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 10057097 is about 3171.2926386570. The cubic root of 10057097 is about 215.8527302607.

The spelling of 10057097 in words is "ten million, fifty-seven thousand, ninety-seven".