35681 has 4 divisors (see below), whose sum is σ = 36864. Its totient is φ = 34500.

The previous prime is 35677. The next prime is 35729. The reversal of 35681 is 18653.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 18653 = 23 ⋅811.

It is a cyclic number.

It is not a de Polignac number, because 35681 - 2² = 35677 is a prime.

It is a super-2 number, since 2×35681² = 2546267522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35681.

It is not an unprimeable number, because it can be changed into a prime (35671) 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 3 ways as a sum of consecutive naturals, for example, 545 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (9216).

2³⁵⁶⁸¹ is an apocalyptic number.

35681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

35681 is a deficient number, since it is larger than the sum of its proper divisors (1183).

35681 is a wasteful number, since it uses less digits than its factorization.

35681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182.

The product of its digits is 720, while the sum is 23.

The square root of 35681 is about 188.8941502535. The cubic root of 35681 is about 32.9214538427.

The spelling of 35681 in words is "thirty-five thousand, six hundred eighty-one".