34513825 has 24 divisors (see below), whose sum is σ = 45633240. Its totient is φ = 25894400.

The previous prime is 34513793. The next prime is 34513837. The reversal of 34513825 is 52831543.

It can be written as a sum of positive squares in 12 ways, for example, as 5094049 + 29419776 = 2257^2 + 5424^2 .

It is not a de Polignac number, because 34513825 - 2⁵ = 34513793 is a prime.

It is a super-3 number, since 3×34513825³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122685 + ... + 122965.

It is an arithmetic number, because the mean of its divisors is an integer number (1901385).

Almost surely, 2^34513825 is an apocalyptic number.

It is an amenable number.

34513825 is a deficient number, since it is larger than the sum of its proper divisors (11119415).

34513825 is an equidigital number, since it uses as much as digits as its factorization.

34513825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 34513825 is about 5874.8468065133. The cubic root of 34513825 is about 325.5849819362.

The spelling of 34513825 in words is "thirty-four million, five hundred thirteen thousand, eight hundred twenty-five".