1864105 has 16 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 1429120.

The previous prime is 1864087. The next prime is 1864111. The reversal of 1864105 is 5014681.

1864105 = 1² + 2² + ... + 177².

It is not a de Polignac number, because 1864105 - 2⁹ = 1863593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1864105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20901 + ... + 20989.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

2^1864105 is an apocalyptic number.

It is an amenable number.

1864105 is a deficient number, since it is larger than the sum of its proper divisors (468695).

1864105 is an equidigital number, since it uses as much as digits as its factorization.

1864105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1864105 is about 1365.3223062706. The cubic root of 1864105 is about 123.0713006747.

Adding to 1864105 its reverse (5014681), we get a palindrome (6878786).

The spelling of 1864105 in words is "one million, eight hundred sixty-four thousand, one hundred five".