312101 has 2 divisors, whose sum is σ = 312102. Its totient is φ = 312100.

The previous prime is 312089. The next prime is 312107. The reversal of 312101 is 101213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172225 + 139876 = 415^2 + 374^2 .

It is a cyclic number.

It is not a de Polignac number, because 312101 - 2¹⁸ = 49957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312101.

It is not a weakly prime, because it can be changed into another prime (312107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156050 + 156051.

It is an arithmetic number, because the mean of its divisors is an integer number (156051).

2³¹²¹⁰¹ is an apocalyptic number.

It is an amenable number.

312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312101 is an equidigital number, since it uses as much as digits as its factorization.

312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 312101 is about 558.6600039380. The cubic root of 312101 is about 67.8315467108.

Adding to 312101 its reverse (101213), we get a palindrome (413314).

The spelling of 312101 in words is "three hundred twelve thousand, one hundred one", and thus it is an iban number.