10802017 has 8 divisors (see below), whose sum is σ = 10988936. Its totient is φ = 10616832.

The previous prime is 10802003. The next prime is 10802023. The reversal of 10802017 is 71020801.

It can be written as a sum of positive squares in 4 ways, for example, as 3272481 + 7529536 = 1809^2 + 2744^2 .

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

It is a 4-Lehmer number, since φ(10802017) divides (10802017-1)⁴.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10802017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10801985 and 10802003.

It is not an unprimeable number, because it can be changed into a prime (10802027) 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, 18433 + ... + 19009.

It is an arithmetic number, because the mean of its divisors is an integer number (1373617).

It is a Poulet number, since it divides 2^10802016-1.

Almost surely, 2^10802017 is an apocalyptic number.

It is an amenable number.

10802017 is a deficient number, since it is larger than the sum of its proper divisors (186919).

10802017 is an equidigital number, since it uses as much as digits as its factorization.

10802017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 10802017 is about 3286.6422074817. The cubic root of 10802017 is about 221.0556496018.

Adding to 10802017 its reverse (71020801), we get a palindrome (81822818).

The spelling of 10802017 in words is "ten million, eight hundred two thousand, seventeen".