34516125 has 80 divisors (see below), whose sum is σ = 73691904. Its totient is φ = 15746400.

The previous prime is 34516117. The next prime is 34516129. The reversal of 34516125 is 52161543.

34516125 is a `hidden beast` number, since 3 + 45 + 1 + 612 + 5 = 666.

34516125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34516125 - 2³ = 34516117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34516129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70632 + ... + 71118.

Almost surely, 2^34516125 is an apocalyptic number.

34516125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34516125 is an abundant number, since it is smaller than the sum of its proper divisors (39175779).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34516125 is an equidigital number, since it uses as much as digits as its factorization.

34516125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 34516125 is about 5875.0425530374. The cubic root of 34516125 is about 325.5922140992.

Adding to 34516125 its reverse (52161543), we get a palindrome (86677668).

The spelling of 34516125 in words is "thirty-four million, five hundred sixteen thousand, one hundred twenty-five".