2864001 has 12 divisors (see below), whose sum is σ = 4442352. Its totient is φ = 1636488.

The previous prime is 2863979. The next prime is 2864021. The reversal of 2864001 is 1004682.

2864001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2864001 - 2⁵ = 2863969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2864021) 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, 9595 + ... + 9888.

It is an arithmetic number, because the mean of its divisors is an integer number (370196).

2^2864001 is an apocalyptic number.

2864001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2864001 is a deficient number, since it is larger than the sum of its proper divisors (1578351).

2864001 is a wasteful number, since it uses less digits than its factorization.

2864001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19500 (or 19493 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2864001 is about 1692.3359595541. The cubic root of 2864001 is about 142.0117857043.

Adding to 2864001 its reverse (1004682), we get a palindrome (3868683).

The spelling of 2864001 in words is "two million, eight hundred sixty-four thousand, one".