40755 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 17280.

The previous prime is 40751. The next prime is 40759. The reversal of 40755 is 55704.

40755 = T_{26} + T_{27} + ... +
T_{63}.

40755 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

40755 is a nontrivial binomial coefficient, being equal to C(286, 2).

It is an interprime number because it is at equal distance from previous prime (40751) and next prime (40759).

It is not a de Polignac number, because 40755 - 2^{2} = 40751 is a prime.

40755 is strictly pandigital in base 6.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 40755.

It is not an unprimeable number, because it can be changed into a prime (40751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136 + ... + 2154.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2^{40755} is an apocalyptic number.

40755 is the 285-th triangular number, the 165-th pentagonal number and also the 143-rd hexagonal number.

40755 is a deficient number, since it is larger than the sum of its proper divisors (39885).

40755 is a wasteful number, since it uses less digits than its factorization.

40755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 40755 is about 201.8786764371. The cubic root of 40755 is about 34.4133511363.

The spelling of 40755 in words is "forty thousand, seven hundred fifty-five".

Divisors: 1 3 5 11 13 15 19 33 39 55 57 65 95 143 165 195 209 247 285 429 627 715 741 1045 1235 2145 2717 3135 3705 8151 13585 40755

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