1023005957 has 12 divisors (see below), whose sum is σ = 1092412836. Its totient is φ = 957788160.

The previous prime is 1023005911. The next prime is 1023006011. The reversal of 1023005957 is 7595003201.

It can be written as a sum of positive squares in 6 ways, for example, as 5013121 + 1017992836 = 2239^2 + 31906^2 .

It is not a de Polignac number, because 1023005957 - 2¹⁶ = 1022940421 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 (1023005057) 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 11 ways as a sum of consecutive naturals, for example, 46607 + ... + 64947.

It is an arithmetic number, because the mean of its divisors is an integer number (91034403).

Almost surely, 2^1023005957 is an apocalyptic number.

1023005957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1023005957 is a deficient number, since it is larger than the sum of its proper divisors (69406879).

1023005957 is a wasteful number, since it uses less digits than its factorization.

1023005957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 1023005957 is about 31984.4643069100. The cubic root of 1023005957 is about 1007.6105844009.

The spelling of 1023005957 in words is "one billion, twenty-three million, five thousand, nine hundred fifty-seven".