34829137 has 8 divisors (see below), whose sum is σ = 39995072. Its totient is φ = 29710800.

The previous prime is 34829129. The next prime is 34829159. The reversal of 34829137 is 73192843.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34829137 - 2³ = 34829129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34829096 and 34829105.

It is not an unprimeable number, because it can be changed into a prime (34829117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10314 + ... + 13267.

It is an arithmetic number, because the mean of its divisors is an integer number (4999384).

Almost surely, 2^34829137 is an apocalyptic number.

It is an amenable number.

34829137 is a deficient number, since it is larger than the sum of its proper divisors (5165935).

34829137 is a wasteful number, since it uses less digits than its factorization.

34829137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23799.

The product of its digits is 36288, while the sum is 37.

The square root of 34829137 is about 5901.6215568266. The cubic root of 34829137 is about 326.5734727676.

Adding to 34829137 its product of digits (36288), we get a triangular number (34865425 = T₈₃₅₀).

The spelling of 34829137 in words is "thirty-four million, eight hundred twenty-nine thousand, one hundred thirty-seven".