4165061 has 2 divisors, whose sum is σ = 4165062. Its totient is φ = 4165060.

The previous prime is 4165043. The next prime is 4165079. The reversal of 4165061 is 1605614.

It is a balanced prime because it is at equal distance from previous prime (4165043) and next prime (4165079).

It can be written as a sum of positive squares in only one way, i.e., 3648100 + 516961 = 1910^2 + 719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4165061 is a prime.

It is equal to p₂₉₄₀₂₆ and since 4165061 and 294026 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4165361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082530 + 2082531.

It is an arithmetic number, because the mean of its divisors is an integer number (2082531).

Almost surely, 2^4165061 is an apocalyptic number.

It is an amenable number.

4165061 is a deficient number, since it is larger than the sum of its proper divisors (1).

4165061 is an equidigital number, since it uses as much as digits as its factorization.

4165061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4165061 is about 2040.8481080178. The cubic root of 4165061 is about 160.8942247236.

The spelling of 4165061 in words is "four million, one hundred sixty-five thousand, sixty-one".