13410585 has 12 divisors (see below), whose sum is σ = 23245092. Its totient is φ = 7152288.

The previous prime is 13410583. The next prime is 13410589. The reversal of 13410585 is 58501431.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 5322249 = 2844^2 + 2307^2 .

It is not a de Polignac number, because 13410585 - 2¹ = 13410583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13410583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148962 + ... + 149051.

It is an arithmetic number, because the mean of its divisors is an integer number (1937091).

Almost surely, 2^13410585 is an apocalyptic number.

13410585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13410585 is a deficient number, since it is larger than the sum of its proper divisors (9834507).

13410585 is a wasteful number, since it uses less digits than its factorization.

13410585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298024 (or 298021 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13410585 is about 3662.0465589613. The cubic root of 13410585 is about 237.5832985744.

The spelling of 13410585 in words is "thirteen million, four hundred ten thousand, five hundred eighty-five".