13774900 has 36 divisors (see below), whose sum is σ = 30136960. Its totient is φ = 5464800.

The previous prime is 13774897. The next prime is 13774903. The reversal of 13774900 is 947731.

It is an interprime number because it is at equal distance from previous prime (13774897) and next prime (13774903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13774903) 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, 13405 + ... + 14395.

Almost surely, 2^13774900 is an apocalyptic number.

13774900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068480).

13774900 is an abundant number, since it is smaller than the sum of its proper divisors (16362060).

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

13774900 is a wasteful number, since it uses less digits than its factorization.

13774900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 13774900 is about 3711.4552401989. The cubic root of 13774900 is about 239.7155194097.

The spelling of 13774900 in words is "thirteen million, seven hundred seventy-four thousand, nine hundred".