35731 has 2 divisors, whose sum is σ = 35732. Its totient is φ = 35730.

The previous prime is 35729. The next prime is 35747. The reversal of 35731 is 13753.

35731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 35731 - 2¹ = 35729 is a prime.

It is a super-2 number, since 2×35731² = 2553408722, which contains 22 as substring.

Together with 35729, it forms a pair of twin primes.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 35699 and 35708.

It is not a weakly prime, because it can be changed into another prime (35771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17865 + 17866.

It is an arithmetic number, because the mean of its divisors is an integer number (17866).

2³⁵⁷³¹ is an apocalyptic number.

35731 is a deficient number, since it is larger than the sum of its proper divisors (1).

35731 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 13 representation: 35731 = (13357)₁₃.

35731 is an evil number, because the sum of its binary digits is even.

The product of its digits is 315, while the sum is 19.

The square root of 35731 is about 189.0264531752. The cubic root of 35731 is about 32.9368243425.

Adding to 35731 its product of digits (315), we get a triangular number (36046 = T₂₆₈).

The spelling of 35731 in words is "thirty-five thousand, seven hundred thirty-one".