54001629 has 36 divisors (see below), whose sum is σ = 89867232. Its totient is φ = 30985200.

The previous prime is 54001613. The next prime is 54001643. The reversal of 54001629 is 92610045.

It is not a de Polignac number, because 54001629 - 2⁴ = 54001613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34984 + ... + 36494.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^54001629 is an apocalyptic number.

It is an amenable number.

54001629 is a deficient number, since it is larger than the sum of its proper divisors (35865603).

54001629 is a wasteful number, since it uses less digits than its factorization.

54001629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1544 counting only the distinct ones).

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

The square root of 54001629 is about 7348.5800669245. The cubic root of 54001629 is about 377.9801156921.

It can be divided in two parts, 540016 and 29, that added together give a palindrome (540045).

The spelling of 54001629 in words is "fifty-four million, one thousand, six hundred twenty-nine".