34765 has 8 divisors (see below), whose sum is σ = 44280. Its totient is φ = 26112.

The previous prime is 34763. The next prime is 34781. The reversal of 34765 is 56743.

It can be written as a sum of positive squares in 4 ways, for example, as 14884 + 19881 = 122^2 + 141^2 .

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

It is not a de Polignac number, because 34765 - 2¹ = 34763 is a prime.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34763) 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, 120 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (5535).

2³⁴⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

34765 is a deficient number, since it is larger than the sum of its proper divisors (9515).

34765 is a wasteful number, since it uses less digits than its factorization.

34765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 2520, while the sum is 25.

The square root of 34765 is about 186.4537476159. The cubic root of 34765 is about 32.6372890586.

It can be divided in two parts, 3476 and 5, that added together give a square (3481 = 59²).

The spelling of 34765 in words is "thirty-four thousand, seven hundred sixty-five".