13435457 has 18 divisors (see below), whose sum is σ = 16679682. Its totient is φ = 10753344.

The previous prime is 13435441. The next prime is 13435463. The reversal of 13435457 is 75453431.

It can be written as a sum of positive squares in only one way, i.e., 12645136 + 790321 = 3556^2 + 889^2 .

It is not a de Polignac number, because 13435457 - 2⁴ = 13435441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13435417) 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, 105728 + ... + 105854.

It is an arithmetic number, because the mean of its divisors is an integer number (926649).

Almost surely, 2^13435457 is an apocalyptic number.

13435457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13435457 is a deficient number, since it is larger than the sum of its proper divisors (3244225).

13435457 is an equidigital number, since it uses as much as digits as its factorization.

13435457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 151 counting only the distinct ones).

The product of its digits is 25200, while the sum is 32.

The square root of 13435457 is about 3665.4409011741. The cubic root of 13435457 is about 237.7300861655.

Adding to 13435457 its reverse (75453431), we get a palindrome (88888888).

The spelling of 13435457 in words is "thirteen million, four hundred thirty-five thousand, four hundred fifty-seven".