1961973 has 24 divisors (see below), whose sum is σ = 3134040. Its totient is φ = 1175040.

The previous prime is 1961963. The next prime is 1961983. The reversal of 1961973 is 3791691.

It is an interprime number because it is at equal distance from previous prime (1961963) and next prime (1961983).

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 1912689 = 222^2 + 1383^2 .

It is not a de Polignac number, because 1961973 - 2⁴ = 1961957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4593 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (130585).

2^1961973 is an apocalyptic number.

1961973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1961973 is a deficient number, since it is larger than the sum of its proper divisors (1172067).

1961973 is a wasteful number, since it uses less digits than its factorization.

1961973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 1961973 is about 1400.7044656172. The cubic root of 1961973 is about 125.1884730139.

The spelling of 1961973 in words is "one million, nine hundred sixty-one thousand, nine hundred seventy-three".