34012125 has 72 divisors (see below), whose sum is σ = 71438328. Its totient is φ = 15523200.

The previous prime is 34012093. The next prime is 34012133. The reversal of 34012125 is 52121043.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 25613721 = 2898^2 + 5061^2 .

It is not a de Polignac number, because 34012125 - 2⁵ = 34012093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34012098 and 34012107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54817 + ... + 55433.

It is an arithmetic number, because the mean of its divisors is an integer number (992199).

Almost surely, 2^34012125 is an apocalyptic number.

34012125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34012125 is an abundant number, since it is smaller than the sum of its proper divisors (37426203).

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

34012125 is a wasteful number, since it uses less digits than its factorization.

34012125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34012125 is about 5831.9915123395. The cubic root of 34012125 is about 323.9996856421. Note that the first 3 decimals are identical.

Adding to 34012125 its reverse (52121043), we get a palindrome (86133168).

The spelling of 34012125 in words is "thirty-four million, twelve thousand, one hundred twenty-five".