30807 has 16 divisors (see below), whose sum is σ = 52480. Its totient is φ = 17496.

The previous prime is 30803. The next prime is 30809. The reversal of 30807 is 70803.

It is not a de Polignac number, because 30807 - 2² = 30803 is a prime.

It is a Duffinian number.

30807 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 30807.

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 30807.

It is not an unprimeable number, because it can be changed into a prime (30803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3280).

2³⁰⁸⁰⁷ is an apocalyptic number.

30807 is a deficient number, since it is larger than the sum of its proper divisors (21673).

30807 is a wasteful number, since it uses less digits than its factorization.

30807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 30807 is about 175.5192297157. The cubic root of 30807 is about 31.3484786698.

The spelling of 30807 in words is "thirty thousand, eight hundred seven".