Search a number
-
+
165415973 is a prime number
BaseRepresentation
bin10011101110000…
…00110000100101
3102112021000001112
421313000300211
5314321302343
624225234405
74046004212
oct1167006045
9375230045
10165415973
1185411518
1247492a05
1328368998
1417d7cb09
15e7c7218
hex9dc0c25

165415973 has 2 divisors, whose sum is σ = 165415974. Its totient is φ = 165415972.

The previous prime is 165415951. The next prime is 165415979. The reversal of 165415973 is 379514561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91833889 + 73582084 = 9583^2 + 8578^2 .

It is a cyclic number.

It is not a de Polignac number, because 165415973 - 26 = 165415909 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 165415973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165415979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82707986 + 82707987.

It is an arithmetic number, because the mean of its divisors is an integer number (82707987).

Almost surely, 2165415973 is an apocalyptic number.

It is an amenable number.

165415973 is a deficient number, since it is larger than the sum of its proper divisors (1).

165415973 is an equidigital number, since it uses as much as digits as its factorization.

165415973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 113400, while the sum is 41.

The square root of 165415973 is about 12861.4141135413. The cubic root of 165415973 is about 548.9411838964.

The spelling of 165415973 in words is "one hundred sixty-five million, four hundred fifteen thousand, nine hundred seventy-three".