34561 has 8 divisors (see below), whose sum is σ = 38880. Its totient is φ = 30528.

The previous prime is 34549. The next prime is 34583. The reversal of 34561 is 16543.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

It is a Proth number, since it is equal to 135 ⋅ 2⁸ + 1 and 135 < 2⁸.

2³⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

34561 is a deficient number, since it is larger than the sum of its proper divisors (4319).

34561 is a wasteful number, since it uses less digits than its factorization.

34561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 360, while the sum is 19.

The square root of 34561 is about 185.9058901703. The cubic root of 34561 is about 32.5733255648.

It can be divided in two parts, 345 and 61, that added together give a triangular number (406 = T₂₈).

The spelling of 34561 in words is "thirty-four thousand, five hundred sixty-one".