34641 has 8 divisors (see below), whose sum is σ = 51360. Its totient is φ = 23076.

The previous prime is 34631. The next prime is 34649. The reversal of 34641 is 14643.

Added to its reverse (14643) it gives a square (49284 = 222²).

It is not a de Polignac number, because 34641 - 2⁷ = 34513 is a prime.

34641 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (6420).

2³⁴⁶⁴¹ is an apocalyptic number.

It is an amenable number.

34641 is a deficient number, since it is larger than the sum of its proper divisors (16719).

34641 is a wasteful number, since it uses less digits than its factorization.

34641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 34641 is about 186.1209284310. The cubic root of 34641 is about 32.5984392092.

Adding to 34641 its reverse (14643), we get a square (49284 = 222²).

The spelling of 34641 in words is "thirty-four thousand, six hundred forty-one".