34624013 has 2 divisors, whose sum is σ = 34624014. Its totient is φ = 34624012.

The previous prime is 34624003. The next prime is 34624021. The reversal of 34624013 is 31042643.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32512804 + 2111209 = 5702^2 + 1453^2 .

It is an emirp because it is prime and its reverse (31042643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34624013 - 2⁶ = 34623949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34624013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34624003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17312006 + 17312007.

It is an arithmetic number, because the mean of its divisors is an integer number (17312007).

Almost surely, 2^34624013 is an apocalyptic number.

It is an amenable number.

34624013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34624013 is an equidigital number, since it uses as much as digits as its factorization.

34624013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 34624013 is about 5884.2172801487. The cubic root of 34624013 is about 325.9310987661.

Adding to 34624013 its reverse (31042643), we get a palindrome (65666656).

The spelling of 34624013 in words is "thirty-four million, six hundred twenty-four thousand, thirteen".