1457361 has 12 divisors (see below), whose sum is σ = 2125188. Its totient is φ = 962304.

The previous prime is 1457353. The next prime is 1457363. The reversal of 1457361 is 1637541.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 938961 = 720^2 + 969^2 .

It is not a de Polignac number, because 1457361 - 2³ = 1457353 is a prime.

1457361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1457363) 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 11 ways as a sum of consecutive naturals, for example, 301 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (177099).

2^1457361 is an apocalyptic number.

It is an amenable number.

1457361 is a deficient number, since it is larger than the sum of its proper divisors (667827).

1457361 is a wasteful number, since it uses less digits than its factorization.

1457361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1549 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 1457361 is about 1207.2120774744. The cubic root of 1457361 is about 113.3763264412.

It can be divided in two parts, 14 and 57361, that added together give a palindrome (57375).

The spelling of 1457361 in words is "one million, four hundred fifty-seven thousand, three hundred sixty-one".