40759 has 2 divisors, whose sum is σ = 40760. Its totient is φ = 40758.

The previous prime is 40751. The next prime is 40763. The reversal of 40759 is 95704.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 40759 - 2³ = 40751 is a prime.

It is a super-2 number, since 2×40759² = 3322592162, which contains 22 as substring.

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 40759.

It is not a weakly prime, because it can be changed into another prime (40751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20379 + 20380.

It is an arithmetic number, because the mean of its divisors is an integer number (20380).

2⁴⁰⁷⁵⁹ is an apocalyptic number.

40759 is a deficient number, since it is larger than the sum of its proper divisors (1).

40759 is an equidigital number, since it uses as much as digits as its factorization.

40759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 40759 is about 201.8885831344. Note that the first 3 decimals coincide. The cubic root of 40759 is about 34.4144769605.

Subtracting 40759 from its reverse (95704), we obtain a palindrome (54945).

The spelling of 40759 in words is "forty thousand, seven hundred fifty-nine".