32084052 has 96 divisors (see below), whose sum is σ = 100552704. Its totient is φ = 7689600.

The previous prime is 32084051. The next prime is 32084053. The reversal of 32084052 is 25048023.

It is an interprime number because it is at equal distance from previous prime (32084051) and next prime (32084053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32084051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10677 + ... + 13347.

It is an arithmetic number, because the mean of its divisors is an integer number (1047424).

Almost surely, 2^32084052 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 32084052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50276352).

32084052 is an abundant number, since it is smaller than the sum of its proper divisors (68468652).

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

32084052 is a wasteful number, since it uses less digits than its factorization.

32084052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 32084052 is about 5664.2785948433. The cubic root of 32084052 is about 317.7579345289.

It can be divided in two parts, 3208 and 4052, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 32084052 in words is "thirty-two million, eighty-four thousand, fifty-two".