3917161 has 2 divisors, whose sum is σ = 3917162. Its totient is φ = 3917160.

The previous prime is 3917149. The next prime is 3917167. The reversal of 3917161 is 1617193.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3308761 + 608400 = 1819^2 + 780^2 .

It is a cyclic number.

It is not a de Polignac number, because 3917161 - 2⁷ = 3917033 is a prime.

It is equal to p₂₇₇₇₃₂ and since 3917161 and 277732 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (3917167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1958580 + 1958581.

It is an arithmetic number, because the mean of its divisors is an integer number (1958581).

Almost surely, 2^3917161 is an apocalyptic number.

It is an amenable number.

3917161 is a deficient number, since it is larger than the sum of its proper divisors (1).

3917161 is an equidigital number, since it uses as much as digits as its factorization.

3917161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 28.

The square root of 3917161 is about 1979.1819016957. The cubic root of 3917161 is about 157.6366295724.

Subtracting from 3917161 its reverse (1617193), we obtain a cube (2299968 = 132³).

The spelling of 3917161 in words is "three million, nine hundred seventeen thousand, one hundred sixty-one".