13954900 has 36 divisors (see below), whose sum is σ = 30865212. Its totient is φ = 5474560.

The previous prime is 13954891. The next prime is 13954921. The reversal of 13954900 is 945931.

13954900 = 751² + 752² + ... + 774².

It can be written as a sum of positive squares in 6 ways, for example, as 617796 + 13337104 = 786^2 + 3652^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3984 + ... + 6616.

It is an arithmetic number, because the mean of its divisors is an integer number (857367).

Almost surely, 2^13954900 is an apocalyptic number.

13954900 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 13954900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432606).

13954900 is an abundant number, since it is smaller than the sum of its proper divisors (16910312).

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

13954900 is a wasteful number, since it uses less digits than its factorization.

13954900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 13954900 is about 3735.6257842562. The cubic root of 13954900 is about 240.7551446419.

The spelling of 13954900 in words is "thirteen million, nine hundred fifty-four thousand, nine hundred".