1357305 has 16 divisors (see below), whose sum is σ = 2225664. Its totient is φ = 705920.

The previous prime is 1357201. The next prime is 1357333. The reversal of 1357305 is 5037531.

It is not a de Polignac number, because 1357305 - 2¹⁸ = 1095161 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (139104).

2^1357305 is an apocalyptic number.

1357305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1357305 is a deficient number, since it is larger than the sum of its proper divisors (868359).

1357305 is a wasteful number, since it uses less digits than its factorization.

1357305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 1357305 is about 1165.0343342580. The cubic root of 1357305 is about 110.7199335110.

The spelling of 1357305 in words is "one million, three hundred fifty-seven thousand, three hundred five".