13742577 has 12 divisors (see below), whose sum is σ = 20387380. Its totient is φ = 8913888.

The previous prime is 13742557. The next prime is 13742581. The reversal of 13742577 is 77524731.

13742577 is a `hidden beast` number, since 13 + 74 + 2 + 577 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5239521 + 8503056 = 2289^2 + 2916^2 .

It is not a de Polignac number, because 13742577 - 2¹⁵ = 13709809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13742527) 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 11 ways as a sum of consecutive naturals, for example, 20302 + ... + 20967.

Almost surely, 2^13742577 is an apocalyptic number.

It is an amenable number.

13742577 is a deficient number, since it is larger than the sum of its proper divisors (6644803).

13742577 is a wasteful number, since it uses less digits than its factorization.

13742577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41312 (or 41309 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 13742577 is about 3707.0981913081. The cubic root of 13742577 is about 239.5278739297.

The spelling of 13742577 in words is "thirteen million, seven hundred forty-two thousand, five hundred seventy-seven".