312653141 has 2 divisors, whose sum is σ = 312653142. Its totient is φ = 312653140.

The previous prime is 312653083. The next prime is 312653161. The reversal of 312653141 is 141356213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179158225 + 133494916 = 13385^2 + 11554^2 .

It is a cyclic number.

It is not a de Polignac number, because 312653141 - 2¹⁴ = 312636757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312653141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312653161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156326570 + 156326571.

It is an arithmetic number, because the mean of its divisors is an integer number (156326571).

Almost surely, 2^312653141 is an apocalyptic number.

It is an amenable number.

312653141 is a deficient number, since it is larger than the sum of its proper divisors (1).

312653141 is an equidigital number, since it uses as much as digits as its factorization.

312653141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 26.

The square root of 312653141 is about 17682.0004807148. Note that the first 3 decimals coincide. The cubic root of 312653141 is about 678.7152363471.

The spelling of 312653141 in words is "three hundred twelve million, six hundred fifty-three thousand, one hundred forty-one".