13837992 has 96 divisors (see below), whose sum is σ = 41352000. Its totient is φ = 3857280.

The previous prime is 13837981. The next prime is 13838021. The reversal of 13837992 is 29973831.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (81648) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337492 + ... + 337532.

It is an arithmetic number, because the mean of its divisors is an integer number (430750).

Almost surely, 2^13837992 is an apocalyptic number.

13837992 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 13837992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676000).

13837992 is an abundant number, since it is smaller than the sum of its proper divisors (27514008).

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

13837992 is an equidigital number, since it uses as much as digits as its factorization.

13837992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 13837992 is about 3719.9451608861. The cubic root of 13837992 is about 240.0809449188.

Multiplying 13837992 by its sum of digits (42), we get a square (581195664 = 24108²).

13837992 divided by its sum of digits (42) gives a square (329476 = 574²).

The spelling of 13837992 in words is "thirteen million, eight hundred thirty-seven thousand, nine hundred ninety-two".