34677 has 6 divisors (see below), whose sum is σ = 50102. Its totient is φ = 23112.

The previous prime is 34673. The next prime is 34679. The reversal of 34677 is 77643.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 81 = 186^2 + 9^2 .

It is not a de Polignac number, because 34677 - 2² = 34673 is a prime.

It is a d-powerful number, because it can be written as 3 + 4⁵ + 6² + 7⁵ + 7⁵ .

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 34677.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34677.

It is not an unprimeable number, because it can be changed into a prime (34673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1918 + ... + 1935.

2³⁴⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

34677 is a deficient number, since it is larger than the sum of its proper divisors (15425).

34677 is a wasteful number, since it uses less digits than its factorization.

34677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3856 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 34677 is about 186.2176146341. The cubic root of 34677 is about 32.6097277354.

The spelling of 34677 in words is "thirty-four thousand, six hundred seventy-seven".