34146313 has 2 divisors, whose sum is σ = 34146314. Its totient is φ = 34146312.

The previous prime is 34146269. The next prime is 34146331. The reversal of 34146313 is 31364143.

It is a happy number.

Together with next prime (34146331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 413449 = 5808^2 + 643^2 .

It is a cyclic number.

It is not a de Polignac number, because 34146313 - 2⁹ = 34145801 is a prime.

It is not a weakly prime, because it can be changed into another prime (34146373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17073156 + 17073157.

It is an arithmetic number, because the mean of its divisors is an integer number (17073157).

Almost surely, 2^34146313 is an apocalyptic number.

It is an amenable number.

34146313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34146313 is an equidigital number, since it uses as much as digits as its factorization.

34146313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 25.

The square root of 34146313 is about 5843.4846624253. The cubic root of 34146313 is about 324.4252183837.

The spelling of 34146313 in words is "thirty-four million, one hundred forty-six thousand, three hundred thirteen".