13577645 has 8 divisors (see below), whose sum is σ = 17251704. Its totient is φ = 10223104.

The previous prime is 13577633. The next prime is 13577653. The reversal of 13577645 is 54677531.

It can be written as a sum of positive squares in 4 ways, for example, as 946729 + 12630916 = 973^2 + 3554^2 .

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 13577645 - 2¹⁸ = 13315501 is a prime.

It is a super-3 number, since 3×13577645³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13577599 and 13577608.

It is a congruent 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, 79784 + ... + 79953.

It is an arithmetic number, because the mean of its divisors is an integer number (2156463).

Almost surely, 2^13577645 is an apocalyptic number.

It is an amenable number.

13577645 is a deficient number, since it is larger than the sum of its proper divisors (3674059).

13577645 is a wasteful number, since it uses less digits than its factorization.

13577645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159759.

The product of its digits is 88200, while the sum is 38.

The square root of 13577645 is about 3684.7856111313. The cubic root of 13577645 is about 238.5657807938.

The spelling of 13577645 in words is "thirteen million, five hundred seventy-seven thousand, six hundred forty-five".