312353 has 2 divisors, whose sum is σ = 312354. Its totient is φ = 312352.

The previous prime is 312349. The next prime is 312371. The reversal of 312353 is 353213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 54289 = 508^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 312353 - 2² = 312349 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156176 + 156177.

It is an arithmetic number, because the mean of its divisors is an integer number (156177).

2³¹²³⁵³ is an apocalyptic number.

It is an amenable number.

312353 is a deficient number, since it is larger than the sum of its proper divisors (1).

312353 is an equidigital number, since it uses as much as digits as its factorization.

312353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 17.

The square root of 312353 is about 558.8854981121. The cubic root of 312353 is about 67.8497982289.

Adding to 312353 its reverse (353213), we get a palindrome (665566).

The spelling of 312353 in words is "three hundred twelve thousand, three hundred fifty-three".