35649 has 12 divisors (see below), whose sum is σ = 54756. Its totient is φ = 22272.

The previous prime is 35617. The next prime is 35671. The reversal of 35649 is 94653.

It is a happy number.

35649 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 18225 = 132^2 + 135^2 .

It is not a de Polignac number, because 35649 - 2⁵ = 35617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (4563).

2³⁵⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

35649 is a deficient number, since it is larger than the sum of its proper divisors (19107).

35649 is a wasteful number, since it uses less digits than its factorization.

35649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 35649 is about 188.8094277307. The cubic root of 35649 is about 32.9116091858.

The spelling of 35649 in words is "thirty-five thousand, six hundred forty-nine".