1964761 has 8 divisors (see below), whose sum is σ = 2031624. Its totient is φ = 1898880.

The previous prime is 1964723. The next prime is 1964773. The reversal of 1964761 is 1674691.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 1907161 = 240^2 + 1381^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1964761 - 2¹⁹ = 1440473 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6955 + ... + 7231.

It is an arithmetic number, because the mean of its divisors is an integer number (253953).

2^1964761 is an apocalyptic number.

It is an amenable number.

1964761 is a deficient number, since it is larger than the sum of its proper divisors (66863).

1964761 is a wasteful number, since it uses less digits than its factorization.

1964761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491.

The product of its digits is 9072, while the sum is 34.

The square root of 1964761 is about 1401.6993258185. The cubic root of 1964761 is about 125.2477433282.

It can be divided in two parts, 196 and 4761, that multiplied together give a square (933156 = 966²).

The spelling of 1964761 in words is "one million, nine hundred sixty-four thousand, seven hundred sixty-one".