13716900 has 54 divisors (see below), whose sum is σ = 42997682. Its totient is φ = 3657600.

The previous prime is 13716893. The next prime is 13716931. The reversal of 13716900 is 961731.

It can be written as a sum of positive squares in 3 ways, for example, as 2143296 + 11573604 = 1464^2 + 3402^2 .

It is a super-2 number, since 2×13716900² = 376306691220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6721 + ... + 8520.

Almost surely, 2^13716900 is an apocalyptic number.

13716900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13716900 is an abundant number, since it is smaller than the sum of its proper divisors (29280782).

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

13716900 is a wasteful number, since it uses less digits than its factorization.

13716900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15261 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 13716900 is about 3703.6333511837. The cubic root of 13716900 is about 239.3786008180.

It can be divided in two parts, 1 and 3716900, that added together give a triangular number (3716901 = T₂₇₂₆).

The spelling of 13716900 in words is "thirteen million, seven hundred sixteen thousand, nine hundred".