13773376 has 56 divisors (see below), whose sum is σ = 29123640. Its totient is φ = 6451200.

The previous prime is 13773367. The next prime is 13773379. The reversal of 13773376 is 67337731.

13773376 is a nontrivial binomial coefficient, being equal to C(5249, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 640000 + 13133376 = 800^2 + 3624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13773379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76006 + ... + 76186.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 2^13773376 is an apocalyptic number.

13773376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13773376 is the 5248-th triangular number and also the 1856-th decagonal number.

13773376 is the 1750-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561820).

13773376 is an abundant number, since it is smaller than the sum of its proper divisors (15350264).

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

13773376 is a wasteful number, since it uses less digits than its factorization.

13773376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 55566, while the sum is 37.

The square root of 13773376 is about 3711.2499242169. The cubic root of 13773376 is about 239.7066786940.

It can be divided in two parts, 1377 and 3376, that added together give a triangular number (4753 = T₉₇).

The spelling of 13773376 in words is "thirteen million, seven hundred seventy-three thousand, three hundred seventy-six".