13456905 has 64 divisors (see below), whose sum is σ = 27426816. Its totient is φ = 5472000.

The previous prime is 13456903. The next prime is 13456931. The reversal of 13456905 is 50965431.

It is a happy number.

It is not a de Polignac number, because 13456905 - 2¹ = 13456903 is a prime.

It is a super-3 number, since 3×13456905³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13456901) 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 63 ways as a sum of consecutive naturals, for example, 70360 + ... + 70550.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^13456905 is an apocalyptic number.

13456905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13456905 is an abundant number, since it is smaller than the sum of its proper divisors (13969911).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13456905 is a wasteful number, since it uses less digits than its factorization.

13456905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 13456905 is about 3668.3654398110. The cubic root of 13456905 is about 237.8565208693.

The spelling of 13456905 in words is "thirteen million, four hundred fifty-six thousand, nine hundred five".