1301355 has 36 divisors (see below), whose sum is σ = 2489760. Its totient is φ = 628320.

The previous prime is 1301353. The next prime is 1301387. The reversal of 1301355 is 5531031.

1301355 = 126² + 127² + ... + 180².

It is a happy number.

It is not a de Polignac number, because 1301355 - 2¹ = 1301353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5326 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2^1301355 is an apocalyptic number.

1301355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1301355 is a deficient number, since it is larger than the sum of its proper divisors (1188405).

1301355 is a wasteful number, since it uses less digits than its factorization.

1301355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

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

The square root of 1301355 is about 1140.7694771513. The cubic root of 1301355 is about 109.1771940459.

Adding to 1301355 its reverse (5531031), we get a palindrome (6832386).

It can be divided in two parts, 130 and 1355, that added together give a triangular number (1485 = T₅₄).

The spelling of 1301355 in words is "one million, three hundred one thousand, three hundred fifty-five".