40817 has 10 divisors (see below), whose sum is σ = 50418. Its totient is φ = 32928.

The previous prime is 40813. The next prime is 40819. The reversal of 40817 is 71804.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 2401 = 196^2 + 49^2 .

It is not a de Polignac number, because 40817 - 2² = 40813 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40817.

It is not an unprimeable number, because it can be changed into a prime (40813) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2393 + ... + 2409.

2⁴⁰⁸¹⁷ is an apocalyptic number.

It is an amenable number.

40817 is a deficient number, since it is larger than the sum of its proper divisors (9601).

40817 is an frugal number, since it uses more digits than its factorization.

40817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 40817 is about 202.0321756553. The cubic root of 40817 is about 34.4307931412.

Adding to 40817 its product of nonzero digits (224), we get a triangular number (41041 = T₂₈₆).

The spelling of 40817 in words is "forty thousand, eight hundred seventeen".