1029125 has 8 divisors (see below), whose sum is σ = 1284504. Its totient is φ = 823200.

The previous prime is 1029113. The next prime is 1029139. The reversal of 1029125 is 5219201.

1029125 is digitally balanced in base 2, 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 4 ways, for example, as 139876 + 889249 = 374^2 + 943^2 .

It is not a de Polignac number, because 1029125 - 2⁴ = 1029109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1029097 and 1029106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3992 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (160563).

2^1029125 is an apocalyptic number.

It is an amenable number.

1029125 is a deficient number, since it is larger than the sum of its proper divisors (255379).

1029125 is an frugal number, since it uses more digits than its factorization.

1029125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1029125 is about 1014.4579833586. The cubic root of 1029125 is about 100.9615577650.

The spelling of 1029125 in words is "one million, twenty-nine thousand, one hundred twenty-five".