34496513 has 2 divisors, whose sum is σ = 34496514. Its totient is φ = 34496512.

The previous prime is 34496477. The next prime is 34496531. The reversal of 34496513 is 31569443.

It is a happy number.

Together with next prime (34496531) 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., 34480384 + 16129 = 5872^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 34496513 - 2¹² = 34492417 is a prime.

It is not a weakly prime, because it can be changed into another prime (34496593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17248256 + 17248257.

It is an arithmetic number, because the mean of its divisors is an integer number (17248257).

It is a Proth number, since it is equal to 4211 ⋅ 2¹³ + 1 and 4211 < 2¹³.

Almost surely, 2^34496513 is an apocalyptic number.

It is an amenable number.

34496513 is a deficient number, since it is larger than the sum of its proper divisors (1).

34496513 is an equidigital number, since it uses as much as digits as its factorization.

34496513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 35.

The square root of 34496513 is about 5873.3732215823. The cubic root of 34496513 is about 325.5305354462.

The spelling of 34496513 in words is "thirty-four million, four hundred ninety-six thousand, five hundred thirteen".