314953 has 2 divisors, whose sum is σ = 314954. Its totient is φ = 314952.

The previous prime is 314933. The next prime is 314957. The reversal of 314953 is 359413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 131769 = 428^2 + 363^2 .

It is a cyclic number.

It is not a de Polignac number, because 314953 - 2⁹ = 314441 is a prime.

314953 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (314957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157476 + 157477.

It is an arithmetic number, because the mean of its divisors is an integer number (157477).

2³¹⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

314953 is a deficient number, since it is larger than the sum of its proper divisors (1).

314953 is an equidigital number, since it uses as much as digits as its factorization.

314953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 25.

The square root of 314953 is about 561.2067355262. The cubic root of 314953 is about 68.0375369454.

The spelling of 314953 in words is "three hundred fourteen thousand, nine hundred fifty-three".