1964351041 has 27 divisors (see below), whose sum is σ = 2150512483. Its totient is φ = 1794114080.

The previous prime is 1964351033. The next prime is 1964351099. The reversal of 1964351041 is 1401534691.

The square root of 1964351041 is 44321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94653441 + 1869697600 = 9729^2 + 43240^2 .

It is not a de Polignac number, because 1964351041 - 2³ = 1964351033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1964350988 and 1964351006.

It is not an unprimeable number, because it can be changed into a prime (1964352041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41794680 + ... + 41794726.

Almost surely, 2^1964351041 is an apocalyptic number.

1964351041 is the 44321-st square number.

1964351041 is the 22161-st centered octagonal number.

It is an amenable number.

1964351041 is a deficient number, since it is larger than the sum of its proper divisors (186161442).

1964351041 is an frugal number, since it uses more digits than its factorization.

1964351041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 1964351041 is about 1252.3903149487.

The spelling of 1964351041 in words is "one billion, nine hundred sixty-four million, three hundred fifty-one thousand, forty-one".