312941 has 2 divisors, whose sum is σ = 312942. Its totient is φ = 312940.

The previous prime is 312937. The next prime is 312943. The reversal of 312941 is 149213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280900 + 32041 = 530^2 + 179^2 .

It is an emirp because it is prime and its reverse (149213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312941 - 2² = 312937 is a prime.

It is a Sophie Germain prime.

Together with 312943, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p₂₇₀₂₉ and since 312941 and 27029 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 (312943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156470 + 156471.

It is an arithmetic number, because the mean of its divisors is an integer number (156471).

2³¹²⁹⁴¹ is an apocalyptic number.

It is an amenable number.

312941 is a deficient number, since it is larger than the sum of its proper divisors (1).

312941 is an equidigital number, since it uses as much as digits as its factorization.

312941 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 20.

The square root of 312941 is about 559.4112977050. The cubic root of 312941 is about 67.8923469619.

The spelling of 312941 in words is "three hundred twelve thousand, nine hundred forty-one".