13457947 has 8 divisors (see below), whose sum is σ = 14308560. Its totient is φ = 12621600.

The previous prime is 13457923. The next prime is 13457971. The reversal of 13457947 is 74975431.

It is an interprime number because it is at equal distance from previous prime (13457923) and next prime (13457971).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13457947 is a prime.

It is a super-2 number, since 2×13457947² = 362232674909618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13457987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1588 + ... + 5425.

It is an arithmetic number, because the mean of its divisors is an integer number (1788570).

Almost surely, 2^13457947 is an apocalyptic number.

13457947 is a deficient number, since it is larger than the sum of its proper divisors (850613).

13457947 is a wasteful number, since it uses less digits than its factorization.

13457947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133.

The product of its digits is 105840, while the sum is 40.

The square root of 13457947 is about 3668.5074621704. The cubic root of 13457947 is about 237.8626599753.

It can be divided in two parts, 134 and 57947, that added together give a square (58081 = 241²).

The spelling of 13457947 in words is "thirteen million, four hundred fifty-seven thousand, nine hundred forty-seven".