13375032 has 64 divisors (see below), whose sum is σ = 37756800. Its totient is φ = 3911040.

The previous prime is 13375001. The next prime is 13375049. The reversal of 13375032 is 23057331.

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 = 13374993 and 13375011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6783 + ... + 8529.

It is an arithmetic number, because the mean of its divisors is an integer number (589950).

Almost surely, 2^13375032 is an apocalyptic number.

13375032 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 13375032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18878400).

13375032 is an abundant number, since it is smaller than the sum of its proper divisors (24381768).

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

13375032 is a wasteful number, since it uses less digits than its factorization.

13375032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 13375032 is about 3657.1890845293. The cubic root of 13375032 is about 237.3731592328.

The spelling of 13375032 in words is "thirteen million, three hundred seventy-five thousand, thirty-two".