13774032 has 60 divisors (see below), whose sum is σ = 39505284. Its totient is φ = 4477440.

The previous prime is 13774021. The next prime is 13774037. The reversal of 13774032 is 23047731.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 11451456 = 1524^2 + 3384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13773987 and 13774005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13774037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4738 + ... + 7070.

Almost surely, 2^13774032 is an apocalyptic number.

13774032 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 13774032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752642).

13774032 is an abundant number, since it is smaller than the sum of its proper divisors (25731252).

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

13774032 is a wasteful number, since it uses less digits than its factorization.

13774032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13774032 is about 3711.3383030923. The cubic root of 13774032 is about 239.7104842263.

The spelling of 13774032 in words is "thirteen million, seven hundred seventy-four thousand, thirty-two".