13785101 has 8 divisors (see below), whose sum is σ = 15245184. Its totient is φ = 12359520.

The previous prime is 13785097. The next prime is 13785103. The reversal of 13785101 is 10158731.

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 13785101 - 2² = 13785097 is a prime.

It is a super-4 number, since 4×13785101⁴ (a number of 30 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent 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, 7781 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (1905648).

Almost surely, 2^13785101 is an apocalyptic number.

13785101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13785101 is a deficient number, since it is larger than the sum of its proper divisors (1460083).

13785101 is a wasteful number, since it uses less digits than its factorization.

13785101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17251.

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 13785101 is about 3712.8292446597. The cubic root of 13785101 is about 239.7746785719.

The spelling of 13785101 in words is "thirteen million, seven hundred eighty-five thousand, one hundred one".