34785 has 12 divisors (see below), whose sum is σ = 60372. Its totient is φ = 18528.

The previous prime is 34781. The next prime is 34807. The reversal of 34785 is 58743.

Added to its reverse (58743) it gives a triangular number (93528 = T₄₃₂).

34785 is nontrivially palindromic in base 2.

34785 is digitally balanced in base 2, base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6561 + 28224 = 81^2 + 168^2 .

It is not a de Polignac number, because 34785 - 2² = 34781 is a prime.

It is an alternating number because its digits alternate between odd and even.

34785 is strictly pandigital in base 6.

34785 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (5031).

2³⁴⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

34785 is a deficient number, since it is larger than the sum of its proper divisors (25587).

34785 is a wasteful number, since it uses less digits than its factorization.

34785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 34785 is about 186.5073725084. The cubic root of 34785 is about 32.6435465077.

Adding to 34785 its reverse (58743), we get a triangular number (93528 = T₄₃₂).

The spelling of 34785 in words is "thirty-four thousand, seven hundred eighty-five".