312161 has 2 divisors, whose sum is σ = 312162. Its totient is φ = 312160.

The previous prime is 312121. The next prime is 312197. The reversal of 312161 is 161213.

It is a m-pointer prime, because the next prime (312197) can be obtained adding 312161 to its product of digits (36).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 3025 = 556^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 312161 - 2¹⁰ = 311137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312101) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156080 + 156081.

It is an arithmetic number, because the mean of its divisors is an integer number (156081).

2³¹²¹⁶¹ is an apocalyptic number.

It is an amenable number.

312161 is a deficient number, since it is larger than the sum of its proper divisors (1).

312161 is an equidigital number, since it uses as much as digits as its factorization.

312161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 14.

The square root of 312161 is about 558.7137012818. The cubic root of 312161 is about 67.8358932012.

Adding to 312161 its reverse (161213), we get a palindrome (473374).

The spelling of 312161 in words is "three hundred twelve thousand, one hundred sixty-one".