13785113 has 8 divisors (see below), whose sum is σ = 14663880. Its totient is φ = 12913920.

The previous prime is 13785103. The next prime is 13785133. The reversal of 13785113 is 31158731.

It can be written as a sum of positive squares in 4 ways, for example, as 6538249 + 7246864 = 2557^2 + 2692^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13785113 - 2⁴ = 13785097 is a prime.

It is a super-4 number, since 4×13785113⁴ (a number of 30 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13785103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2123 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (1832985).

Almost surely, 2^13785113 is an apocalyptic number.

It is an amenable number.

13785113 is a deficient number, since it is larger than the sum of its proper divisors (878767).

13785113 is a wasteful number, since it uses less digits than its factorization.

13785113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787.

The product of its digits is 2520, while the sum is 29.

The square root of 13785113 is about 3712.8308606776. The cubic root of 13785113 is about 239.7747481469.

The spelling of 13785113 in words is "thirteen million, seven hundred eighty-five thousand, one hundred thirteen".