40807 has 8 divisors (see below), whose sum is σ = 45584. Its totient is φ = 36288.

The previous prime is 40801. The next prime is 40813. The reversal of 40807 is 70804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40801) and next prime (40813).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40807 - 2¹⁵ = 8039 is a prime.

It is a super-2 number, since 2×40807² = 3330422498, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40801) by changing a digit.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (5698).

2⁴⁰⁸⁰⁷ is an apocalyptic number.

40807 is a deficient number, since it is larger than the sum of its proper divisors (4777).

40807 is a wasteful number, since it uses less digits than its factorization.

40807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 40807 is about 202.0074256061. The cubic root of 40807 is about 34.4279811098.

The spelling of 40807 in words is "forty thousand, eight hundred seven".