13874952 has 64 divisors (see below), whose sum is σ = 42698880. Its totient is φ = 3658752.

The previous prime is 13874947. The next prime is 13874953. The reversal of 13874952 is 25947831.

13874952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13874952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13874953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (667170).

Almost surely, 2^13874952 is an apocalyptic number.

13874952 is a gapful number since it is divisible by the number (12) 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 13874952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349440).

13874952 is an abundant number, since it is smaller than the sum of its proper divisors (28823928).

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

13874952 is a wasteful number, since it uses less digits than its factorization.

13874952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6378 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 13874952 is about 3724.9096633341. The cubic root of 13874952 is about 240.2944995883.

The spelling of 13874952 in words is "thirteen million, eight hundred seventy-four thousand, nine hundred fifty-two".