34513137 has 24 divisors (see below), whose sum is σ = 52003328. Its totient is φ = 22032000.

The previous prime is 34513121. The next prime is 34513147. The reversal of 34513137 is 73131543.

34513137 is a `hidden beast` number, since 345 + 1 + 313 + 7 = 666.

It is not a de Polignac number, because 34513137 - 2⁴ = 34513121 is a prime.

It is a super-3 number, since 3×34513137³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34513137.

It is not an unprimeable number, because it can be changed into a prime (34513147) 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 23 ways as a sum of consecutive naturals, for example, 28137 + ... + 29337.

Almost surely, 2^34513137 is an apocalyptic number.

It is an amenable number.

34513137 is a deficient number, since it is larger than the sum of its proper divisors (17490191).

34513137 is a wasteful number, since it uses less digits than its factorization.

34513137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1338 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 34513137 is about 5874.7882515032. The cubic root of 34513137 is about 325.5828185138.

The spelling of 34513137 in words is "thirty-four million, five hundred thirteen thousand, one hundred thirty-seven".