1027921625 has 16 divisors (see below), whose sum is σ = 1289962128. Its totient is φ = 817776000.

The previous prime is 1027921577. The next prime is 1027921627. The reversal of 1027921625 is 5261297201.

It can be written as a sum of positive squares in 8 ways, for example, as 318658201 + 709263424 = 17851^2 + 26632^2 .

It is not a de Polignac number, because 1027921625 - 2⁸ = 1027921369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027921627) 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 15 ways as a sum of consecutive naturals, for example, 92 + ... + 45341.

It is an arithmetic number, because the mean of its divisors is an integer number (80622633).

Almost surely, 2^1027921625 is an apocalyptic number.

It is an amenable number.

1027921625 is a deficient number, since it is larger than the sum of its proper divisors (262040503).

1027921625 is an equidigital number, since it uses as much as digits as its factorization.

1027921625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45629 (or 45619 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1027921625 is about 32061.2168359219. The cubic root of 1027921625 is about 1009.2219034098.

The spelling of 1027921625 in words is "one billion, twenty-seven million, nine hundred twenty-one thousand, six hundred twenty-five".