13772601 has 12 divisors (see below), whose sum is σ = 21064212. Its totient is φ = 8641536.

The previous prime is 13772581. The next prime is 13772611. The reversal of 13772601 is 10627731.

13772601 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11594025 + 2178576 = 3405^2 + 1476^2 .

It is not a de Polignac number, because 13772601 - 2⁵ = 13772569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13772611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44856 + ... + 45161.

It is an arithmetic number, because the mean of its divisors is an integer number (1755351).

Almost surely, 2^13772601 is an apocalyptic number.

It is an amenable number.

13772601 is a deficient number, since it is larger than the sum of its proper divisors (7291611).

13772601 is a wasteful number, since it uses less digits than its factorization.

13772601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90040 (or 90037 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13772601 is about 3711.1455104859. The cubic root of 13772601 is about 239.7021826730.

It can be divided in two parts, 1377 and 2601, that multiplied together give a cube (3581577 = 153³).

The spelling of 13772601 in words is "thirteen million, seven hundred seventy-two thousand, six hundred one".