13857417 has 12 divisors (see below), whose sum is σ = 22875840. Its totient is φ = 7918488.

The previous prime is 13857407. The next prime is 13857427. The reversal of 13857417 is 71475831.

13857417 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13857407) and next prime (13857427).

It is not a de Polignac number, because 13857417 - 2⁴ = 13857401 is a prime.

It is a super-3 number, since 3×13857417³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13857407) 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, 109917 + ... + 110042.

It is an arithmetic number, because the mean of its divisors is an integer number (1906320).

Almost surely, 2^13857417 is an apocalyptic number.

It is an amenable number.

13857417 is a deficient number, since it is larger than the sum of its proper divisors (9018423).

13857417 is a wasteful number, since it uses less digits than its factorization.

13857417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219972 (or 219969 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 13857417 is about 3722.5551708470. Note that the first 3 decimals coincide. The cubic root of 13857417 is about 240.1932298009.

The spelling of 13857417 in words is "thirteen million, eight hundred fifty-seven thousand, four hundred seventeen".