1964105 has 32 divisors (see below), whose sum is σ = 2878848. Its totient is φ = 1267200.

The previous prime is 1964101. The next prime is 1964113. The reversal of 1964105 is 5014691.

It is not a de Polignac number, because 1964105 - 2² = 1964101 is a prime.

It is a super-3 number, since 3×1964105³ = 22730833371601372875, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1964101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29282 + ... + 29348.

It is an arithmetic number, because the mean of its divisors is an integer number (89964).

2^1964105 is an apocalyptic number.

It is an amenable number.

1964105 is a deficient number, since it is larger than the sum of its proper divisors (914743).

1964105 is a wasteful number, since it uses less digits than its factorization.

1964105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1964105 is about 1401.4653046009. The cubic root of 1964105 is about 125.2338024188.

Adding to 1964105 its reverse (5014691), we get a palindrome (6978796).

The spelling of 1964105 in words is "one million, nine hundred sixty-four thousand, one hundred five".