54331641 has 81 divisors (see below), whose sum is σ = 102651471. Its totient is φ = 28658448.

The previous prime is 54331633. The next prime is 54331657. The reversal of 54331641 is 14613345.

The square root of 54331641 is 7371.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 46294416 = 2835^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 54331641 - 2³ = 54331633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54331141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4179351 + ... + 4179363.

Almost surely, 2^54331641 is an apocalyptic number.

54331641 is the 7371-st square number.

54331641 is the 3686-th centered octagonal number.

It is an amenable number.

54331641 is a deficient number, since it is larger than the sum of its proper divisors (48319830).

54331641 is an frugal number, since it uses more digits than its factorization.

54331641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The cubic root of 54331641 is about 378.7485168063.

Adding to 54331641 its reverse (14613345), we get a palindrome (68944986).

The spelling of 54331641 in words is "fifty-four million, three hundred thirty-one thousand, six hundred forty-one".