34182137 has 12 divisors (see below), whose sum is σ = 37957668. Its totient is φ = 30756000.

The previous prime is 34182133. The next prime is 34182149. The reversal of 34182137 is 73128143.

34182137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29767936 + 4414201 = 5456^2 + 2101^2 .

It is not a de Polignac number, because 34182137 - 2² = 34182133 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34182133) 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 11 ways as a sum of consecutive naturals, for example, 10823 + ... + 13619.

It is an arithmetic number, because the mean of its divisors is an integer number (3163139).

Almost surely, 2^34182137 is an apocalyptic number.

It is an amenable number.

34182137 is a deficient number, since it is larger than the sum of its proper divisors (3775531).

34182137 is a wasteful number, since it uses less digits than its factorization.

34182137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2909 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 34182137 is about 5846.5491531330. The cubic root of 34182137 is about 324.5386337226.

It can be divided in two parts, 3418 and 2137, that added together give a palindrome (5555).

The spelling of 34182137 in words is "thirty-four million, one hundred eighty-two thousand, one hundred thirty-seven".