13874500 has 24 divisors (see below), whose sum is σ = 30303000. Its totient is φ = 5549600.

The previous prime is 13874491. The next prime is 13874521. The reversal of 13874500 is 547831.

13874500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 12376324 = 1224^2 + 3518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13375 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (1262625).

Almost surely, 2^13874500 is an apocalyptic number.

13874500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13874500 is an abundant number, since it is smaller than the sum of its proper divisors (16428500).

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

13874500 is a wasteful number, since it uses less digits than its factorization.

13874500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27768 (or 27756 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13874500 is about 3724.8489902277. The cubic root of 13874500 is about 240.2918902269.

The spelling of 13874500 in words is "thirteen million, eight hundred seventy-four thousand, five hundred".