30817 has 2 divisors, whose sum is σ = 30818. Its totient is φ = 30816.

The previous prime is 30809. The next prime is 30829. The reversal of 30817 is 71803.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 12321 = 136^2 + 111^2 .

It is a cyclic number.

It is not a de Polignac number, because 30817 - 2³ = 30809 is a prime.

It is a Chen prime.

30817 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 30794 and 30803.

It is not a weakly prime, because it can be changed into another prime (30517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15408 + 15409.

It is an arithmetic number, because the mean of its divisors is an integer number (15409).

2³⁰⁸¹⁷ is an apocalyptic number.

It is an amenable number.

30817 is a deficient number, since it is larger than the sum of its proper divisors (1).

30817 is an equidigital number, since it uses as much as digits as its factorization.

30817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 30817 is about 175.5477143115. The cubic root of 30817 is about 31.3518702245.

It can be divided in two parts, 308 and 17, that added together give a triangular number (325 = T₂₅).

The spelling of 30817 in words is "thirty thousand, eight hundred seventeen".