34565 has 8 divisors (see below), whose sum is σ = 43008. Its totient is φ = 26640.

The previous prime is 34549. The next prime is 34583. The reversal of 34565 is 56543.

34565 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 34565 - 2⁴ = 34549 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2³⁴⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

34565 is a deficient number, since it is larger than the sum of its proper divisors (8443).

34565 is a wasteful number, since it uses less digits than its factorization.

34565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its digits is 1800, while the sum is 23.

The square root of 34565 is about 185.9166479904. The cubic root of 34565 is about 32.5745821669.

It can be divided in two parts, 3 and 4565, that multiplied together give a triangular number (13695 = T₁₆₅).

The spelling of 34565 in words is "thirty-four thousand, five hundred sixty-five".