1300117 has 18 divisors (see below), whose sum is σ = 1648098. Its totient is φ = 1022112.

The previous prime is 1300111. The next prime is 1300127. The reversal of 1300117 is 7110031.

It can be written as a sum of positive squares in 3 ways, for example, as 14161 + 1285956 = 119^2 + 1134^2 .

It is not a de Polignac number, because 1300117 - 2⁷ = 1299989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

1300117 is a modest number, since divided by 117 gives 13 as remainder.

1300117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1300097 and 1300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8203 + ... + 8359.

It is an arithmetic number, because the mean of its divisors is an integer number (91561).

2^1300117 is an apocalyptic number.

It is an amenable number.

1300117 is a deficient number, since it is larger than the sum of its proper divisors (347981).

1300117 is a wasteful number, since it uses less digits than its factorization.

1300117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 1300117 is about 1140.2267318389. The cubic root of 1300117 is about 109.1425623865.

Adding to 1300117 its reverse (7110031), we get a palindrome (8410148).

It can be divided in two parts, 1300 and 117, that multiplied together give a square (152100 = 390²).

The spelling of 1300117 in words is "one million, three hundred thousand, one hundred seventeen".