13825032 has 64 divisors (see below), whose sum is σ = 37793280. Its totient is φ = 4188672.

The previous prime is 13824991. The next prime is 13825033. The reversal of 13825032 is 23052831.

It is a super-2 number, since 2×13825032² = 382263019602048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13824993 and 13825011.

It is not an unprimeable number, because it can be changed into a prime (13825033) 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, 22473 + ... + 23079.

It is an arithmetic number, because the mean of its divisors is an integer number (590520).

Almost surely, 2^13825032 is an apocalyptic number.

13825032 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 13825032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896640).

13825032 is an abundant number, since it is smaller than the sum of its proper divisors (23968248).

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

13825032 is a wasteful number, since it uses less digits than its factorization.

13825032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13825032 is about 3718.2027916723. The cubic root of 13825032 is about 240.0059720736.

Adding to 13825032 its reverse (23052831), we get a palindrome (36877863).

The spelling of 13825032 in words is "thirteen million, eight hundred twenty-five thousand, thirty-two".