165125417 has 2 divisors, whose sum is σ = 165125418. Its totient is φ = 165125416.

The previous prime is 165125383. The next prime is 165125419. The reversal of 165125417 is 714521561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122301481 + 42823936 = 11059^2 + 6544^2 .

It is a cyclic number.

It is not a de Polignac number, because 165125417 - 2²⁰ = 164076841 is a prime.

It is a super-4 number, since 4×165125417⁴ (a number of 34 digits) contains 4444 as substring.

Together with 165125419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (165125419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82562708 + 82562709.

It is an arithmetic number, because the mean of its divisors is an integer number (82562709).

Almost surely, 2^165125417 is an apocalyptic number.

It is an amenable number.

165125417 is a deficient number, since it is larger than the sum of its proper divisors (1).

165125417 is an equidigital number, since it uses as much as digits as its factorization.

165125417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8400, while the sum is 32.

The square root of 165125417 is about 12850.1135014443. The cubic root of 165125417 is about 548.6195873177.

Adding to 165125417 its reverse (714521561), we get a palindrome (879646978).

The spelling of 165125417 in words is "one hundred sixty-five million, one hundred twenty-five thousand, four hundred seventeen".