13777985 has 8 divisors (see below), whose sum is σ = 17805480. Its totient is φ = 10174464.

The previous prime is 13777979. The next prime is 13778029. The reversal of 13777985 is 58977731.

It can be written as a sum of positive squares in 4 ways, for example, as 323761 + 13454224 = 569^2 + 3668^2 .

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 13777985 - 2⁴ = 13777969 is a prime.

It is a super-3 number, since 3×13777985³ (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105920 + ... + 106049.

It is an arithmetic number, because the mean of its divisors is an integer number (2225685).

Almost surely, 2^13777985 is an apocalyptic number.

It is an amenable number.

13777985 is a deficient number, since it is larger than the sum of its proper divisors (4027495).

13777985 is a wasteful number, since it uses less digits than its factorization.

13777985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211987.

The product of its digits is 370440, while the sum is 47.

The square root of 13777985 is about 3711.8708221057. The cubic root of 13777985 is about 239.7334134822.

The spelling of 13777985 in words is "thirteen million, seven hundred seventy-seven thousand, nine hundred eighty-five".