1956105 has 24 divisors (see below), whose sum is σ = 3591432. Its totient is φ = 981504.

The previous prime is 1956091. The next prime is 1956109. The reversal of 1956105 is 5016591.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 1610361 = 588^2 + 1269^2 .

It is not a de Polignac number, because 1956105 - 2⁴ = 1956089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1956109) 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 23 ways as a sum of consecutive naturals, for example, 514 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (149643).

2^1956105 is an apocalyptic number.

1956105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1956105 is a deficient number, since it is larger than the sum of its proper divisors (1635327).

1956105 is a wasteful number, since it uses less digits than its factorization.

1956105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1956105 is about 1398.6082367840. The cubic root of 1956105 is about 125.0635410282.

The spelling of 1956105 in words is "one million, nine hundred fifty-six thousand, one hundred five".