34355013 has 16 divisors (see below), whose sum is σ = 57110016. Its totient is φ = 17846640.

The previous prime is 34354993. The next prime is 34355033. The reversal of 34355013 is 31055343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34354993) and next prime (34355033).

It is not a de Polignac number, because 34355013 - 2⁶ = 34354949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34355033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74131 + ... + 74592.

It is an arithmetic number, because the mean of its divisors is an integer number (3569376).

Almost surely, 2^34355013 is an apocalyptic number.

34355013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34355013 is a deficient number, since it is larger than the sum of its proper divisors (22755003).

34355013 is a wasteful number, since it uses less digits than its factorization.

34355013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148744.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 34355013 is about 5861.3149548544. The cubic root of 34355013 is about 325.0848315043.

It can be divided in two parts, 3435 and 5013, that added together give a palindrome (8448).

The spelling of 34355013 in words is "thirty-four million, three hundred fifty-five thousand, thirteen".