34165053 has 48 divisors (see below), whose sum is σ = 57198960. Its totient is φ = 19464192.

The previous prime is 34165039. The next prime is 34165081. The reversal of 34165053 is 35056143.

34165053 is a `hidden beast` number, since 3 + 4 + 1 + 650 + 5 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3992004 + 30173049 = 1998^2 + 5493^2 .

It is not a de Polignac number, because 34165053 - 2⁴ = 34165037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34165003) 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, 176925 + ... + 177117.

It is an arithmetic number, because the mean of its divisors is an integer number (1191645).

Almost surely, 2^34165053 is an apocalyptic number.

It is an amenable number.

34165053 is a deficient number, since it is larger than the sum of its proper divisors (23033907).

34165053 is a wasteful number, since it uses less digits than its factorization.

34165053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 34165053 is about 5845.0879377474. The cubic root of 34165053 is about 324.4845573106.

The spelling of 34165053 in words is "thirty-four million, one hundred sixty-five thousand, fifty-three".