32141952 has 48 divisors (see below), whose sum is σ = 92495130. Its totient is φ = 10713600.

The previous prime is 32141933. The next prime is 32141953. The reversal of 32141952 is 25914123.

It can be written as a sum of positive squares in only one way, i.e., 21013056 + 11128896 = 4584^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (32141953) 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 5 ways as a sum of consecutive naturals, for example, 12799 + ... + 15102.

Almost surely, 2^32141952 is an apocalyptic number.

32141952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32141952 is an abundant number, since it is smaller than the sum of its proper divisors (60353178).

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

32141952 is a wasteful number, since it uses less digits than its factorization.

32141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27921 (or 27906 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 32141952 is about 5669.3872684797. The cubic root of 32141952 is about 317.9489653475.

The spelling of 32141952 in words is "thirty-two million, one hundred forty-one thousand, nine hundred fifty-two".