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165457 is a prime number
BaseRepresentation
bin101000011001010001
322101222001
4220121101
520243312
63314001
71256245
oct503121
9271861
10165457
11103346
127b901
135a406
1444425
1534057
hex28651

165457 has 2 divisors, whose sum is σ = 165458. Its totient is φ = 165456.

The previous prime is 165449. The next prime is 165463. The reversal of 165457 is 754561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 77841 = 296^2 + 279^2 .

It is a cyclic number.

It is not a de Polignac number, because 165457 - 23 = 165449 is a prime.

It is not a weakly prime, because it can be changed into another prime (165437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82728 + 82729.

It is an arithmetic number, because the mean of its divisors is an integer number (82729).

2165457 is an apocalyptic number.

It is an amenable number.

165457 is a deficient number, since it is larger than the sum of its proper divisors (1).

165457 is an equidigital number, since it uses as much as digits as its factorization.

165457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 165457 is about 406.7640593759. The cubic root of 165457 is about 54.8986563529.

It can be divided in two parts, 1654 and 57, that added together give a triangular number (1711 = T58).

The spelling of 165457 in words is "one hundred sixty-five thousand, four hundred fifty-seven".