35759 has 2 divisors, whose sum is σ = 35760. Its totient is φ = 35758.

The previous prime is 35753. The next prime is 35771. The reversal of 35759 is 95753.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 35759 - 2¹² = 31663 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

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 35759.

It is not a weakly prime, because it can be changed into another prime (35753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17879 + 17880.

It is an arithmetic number, because the mean of its divisors is an integer number (17880).

2³⁵⁷⁵⁹ is an apocalyptic number.

35759 is a deficient number, since it is larger than the sum of its proper divisors (1).

35759 is an equidigital number, since it uses as much as digits as its factorization.

35759 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4725, while the sum is 29.

The square root of 35759 is about 189.1005023790. The cubic root of 35759 is about 32.9454255598.

It can be divided in two parts, 35 and 759, that multiplied together give a triangular number (26565 = T₂₃₀).

The spelling of 35759 in words is "thirty-five thousand, seven hundred fifty-nine".