54964001 has 8 divisors (see below), whose sum is σ = 55429920. Its totient is φ = 54500512.

The previous prime is 54963971. The next prime is 54964031. The reversal of 54964001 is 10046945.

54964001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54963971) and next prime (54964031).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54964001 - 2¹⁴ = 54947617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54964031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97346 + ... + 97908.

It is an arithmetic number, because the mean of its divisors is an integer number (6928740).

Almost surely, 2^54964001 is an apocalyptic number.

It is an amenable number.

54964001 is a deficient number, since it is larger than the sum of its proper divisors (465919).

54964001 is a wasteful number, since it uses less digits than its factorization.

54964001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 54964001 is about 7413.7710377378. The cubic root of 54964001 is about 380.2122567638.

The spelling of 54964001 in words is "fifty-four million, nine hundred sixty-four thousand, one".