1023765849 has 12 divisors (see below), whose sum is σ = 1484273700. Its totient is φ = 679971744.

The previous prime is 1023765803. The next prime is 1023765877. The reversal of 1023765849 is 9485673201.

1023765849 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 164865600 + 858900249 = 12840^2 + 29307^2 .

It is not a de Polignac number, because 1023765849 - 2¹¹ = 1023763801 is a prime.

1023765849 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023775849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209014 + ... + 213855.

It is an arithmetic number, because the mean of its divisors is an integer number (123689475).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023765849 = 2047531698, but 3⋅1023765849 = 3071297547 is not.

Almost surely, 2^1023765849 is an apocalyptic number.

It is an amenable number.

1023765849 is a deficient number, since it is larger than the sum of its proper divisors (460507851).

1023765849 is a wasteful number, since it uses less digits than its factorization.

1023765849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423144 (or 423141 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1023765849 is about 31996.3411814539. The cubic root of 1023765849 is about 1007.8600080767.

The spelling of 1023765849 in words is "one billion, twenty-three million, seven hundred sixty-five thousand, eight hundred forty-nine".