34135677 has 36 divisors (see below), whose sum is σ = 53870076. Its totient is φ = 20755200.

The previous prime is 34135627. The next prime is 34135691. The reversal of 34135677 is 77653143.

It can be written as a sum of positive squares in 2 ways, for example, as 30239001 + 3896676 = 5499^2 + 1974^2 .

It is not a de Polignac number, because 34135677 - 2⁶ = 34135613 is a prime.

Its product of digits (52920) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337927 + ... + 338027.

It is an arithmetic number, because the mean of its divisors is an integer number (1496391).

Almost surely, 2^34135677 is an apocalyptic number.

It is an amenable number.

34135677 is a deficient number, since it is larger than the sum of its proper divisors (19734399).

34135677 is a wasteful number, since it uses less digits than its factorization.

34135677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 168 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 34135677 is about 5842.5745181384. The cubic root of 34135677 is about 324.3915305597.

The spelling of 34135677 in words is "thirty-four million, one hundred thirty-five thousand, six hundred seventy-seven".