1353105 has 40 divisors (see below), whose sum is σ = 2622312. Its totient is φ = 663552.

The previous prime is 1353101. The next prime is 1353133. The reversal of 1353105 is 5013531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 263169 + 1089936 = 513^2 + 1044^2 .

It is not a de Polignac number, because 1353105 - 2² = 1353101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5137 + ... + 5393.

2^1353105 is an apocalyptic number.

1353105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1353105 is a deficient number, since it is larger than the sum of its proper divisors (1269207).

1353105 is a wasteful number, since it uses less digits than its factorization.

1353105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1353105 is about 1163.2304156959. The cubic root of 1353105 is about 110.6056128048.

Adding to 1353105 its reverse (5013531), we get a palindrome (6366636).

It can be divided in two parts, 135 and 3105, that added together give a triangular number (3240 = T₈₀).

The spelling of 1353105 in words is "one million, three hundred fifty-three thousand, one hundred five".