34237125 has 48 divisors (see below), whose sum is σ = 66494064. Its totient is φ = 16848000.

The previous prime is 34237121. The next prime is 34237127. The reversal of 34237125 is 52173243.

34237125 = 1135² + 1136² + ... + 1160².

It can be written as a sum of positive squares in 8 ways, for example, as 15000129 + 19236996 = 3873^2 + 4386^2 .

It is not a de Polignac number, because 34237125 - 2² = 34237121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34237121) 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 47 ways as a sum of consecutive naturals, for example, 13455 + ... + 15795.

It is an arithmetic number, because the mean of its divisors is an integer number (1385293).

Almost surely, 2^34237125 is an apocalyptic number.

It is an amenable number.

34237125 is a deficient number, since it is larger than the sum of its proper divisors (32256939).

34237125 is a wasteful number, since it uses less digits than its factorization.

34237125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2362 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 34237125 is about 5851.2498664815. The cubic root of 34237125 is about 324.7125663783.

The spelling of 34237125 in words is "thirty-four million, two hundred thirty-seven thousand, one hundred twenty-five".