35648 has 14 divisors (see below), whose sum is σ = 70866. Its totient is φ = 17792.

The previous prime is 35617. The next prime is 35671. The reversal of 35648 is 84653.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 12544 = 152^2 + 112^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35648.

It is an unprimeable number.

35648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 215 + ... + 342.

2³⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

35648 is a deficient number, since it is larger than the sum of its proper divisors (35218).

35648 is an equidigital number, since it uses as much as digits as its factorization.

35648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 35648 is about 188.8067795393. The cubic root of 35648 is about 32.9113014453.

Subtracting from 35648 its product of digits (2880), we obtain a 15-th power (32768 = 2¹⁵).

It can be divided in two parts, 356 and 48, that added together give a palindrome (404).

The spelling of 35648 in words is "thirty-five thousand, six hundred forty-eight".