13764100 has 81 divisors (see below), whose sum is σ = 35412447. Its totient is φ = 4630080.

The previous prime is 13764089. The next prime is 13764109. The reversal of 13764100 is 146731.

The square root of 13764100 is 3710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 103684 + 13660416 = 322^2 + 3696^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13764109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259674 + ... + 259726.

Almost surely, 2^13764100 is an apocalyptic number.

13764100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13764100 is the 3710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13764100

13764100 is an abundant number, since it is smaller than the sum of its proper divisors (21648347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13764100 is a wasteful number, since it uses less digits than its factorization.

13764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The cubic root of 13764100 is about 239.6528545989.

It can be divided in two parts, 1376 and 4100, that added together give a square (5476 = 74²).

The spelling of 13764100 in words is "thirteen million, seven hundred sixty-four thousand, one hundred".