54032641 has 12 divisors (see below), whose sum is σ = 59211516. Its totient is φ = 49014720.

The previous prime is 54032623. The next prime is 54032689. The reversal of 54032641 is 14623045.

It can be written as a sum of positive squares in 6 ways, for example, as 42302016 + 11730625 = 6504^2 + 3425^2 .

It is not a de Polignac number, because 54032641 - 2⁷ = 54032513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54012641) 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 11 ways as a sum of consecutive naturals, for example, 47815 + ... + 48931.

It is an arithmetic number, because the mean of its divisors is an integer number (4934293).

Almost surely, 2^54032641 is an apocalyptic number.

It is an amenable number.

54032641 is a deficient number, since it is larger than the sum of its proper divisors (5178875).

54032641 is a wasteful number, since it uses less digits than its factorization.

54032641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54032641 is about 7350.6898315736. The cubic root of 54032641 is about 378.0524571899.

Adding to 54032641 its reverse (14623045), we get a palindrome (68655686).

The spelling of 54032641 in words is "fifty-four million, thirty-two thousand, six hundred forty-one".