13817952 has 72 divisors (see below), whose sum is σ = 40773096. Its totient is φ = 4603392.

The previous prime is 13817933. The next prime is 13817987. The reversal of 13817952 is 25971831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6888 + ... + 8664.

It is an arithmetic number, because the mean of its divisors is an integer number (566293).

Almost surely, 2^13817952 is an apocalyptic number.

13817952 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 13817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386548).

13817952 is an abundant number, since it is smaller than the sum of its proper divisors (26955144).

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

13817952 is an equidigital number, since it uses as much as digits as its factorization.

13817952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1782 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13817952 is about 3717.2505968794. The cubic root of 13817952 is about 239.9649948946.

The spelling of 13817952 in words is "thirteen million, eight hundred seventeen thousand, nine hundred fifty-two".