1964133 has 12 divisors (see below), whose sum is σ = 2852460. Its totient is φ = 1302336.

The previous prime is 1964119. The next prime is 1964143. The reversal of 1964133 is 3314691.

1964133 is a `hidden beast` number, since 19 + 641 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1397124 + 567009 = 1182^2 + 753^2 .

It is not a de Polignac number, because 1964133 - 2⁴ = 1964117 is a prime.

1964133 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1964097 and 1964106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964113) 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 11 ways as a sum of consecutive naturals, for example, 1585 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (237705).

2^1964133 is an apocalyptic number.

It is an amenable number.

1964133 is a deficient number, since it is larger than the sum of its proper divisors (888327).

1964133 is a wasteful number, since it uses less digits than its factorization.

1964133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1185 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 1964133 is about 1401.4752941097. The cubic root of 1964133 is about 125.2343975210.

The spelling of 1964133 in words is "one million, nine hundred sixty-four thousand, one hundred thirty-three".