32085452 has 48 divisors (see below), whose sum is σ = 69242880. Its totient is φ = 12700800.

The previous prime is 32085421. The next prime is 32085457. The reversal of 32085452 is 25458023.

It is not an unprimeable number, because it can be changed into a prime (32085457) 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, 21077 + ... + 22547.

It is an arithmetic number, because the mean of its divisors is an integer number (1442560).

Almost surely, 2^32085452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32085452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34621440).

32085452 is an abundant number, since it is smaller than the sum of its proper divisors (37157428).

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

32085452 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (32085451) it forms an eRAP, since the sums of their prime factors are consecutive (1541 and 1542).

32085452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 32085452 is about 5664.4021749872. The cubic root of 32085452 is about 317.7625562917.

The spelling of 32085452 in words is "thirty-two million, eighty-five thousand, four hundred fifty-two".