1054125 has 24 divisors (see below), whose sum is σ = 1902264. Its totient is φ = 561600.

The previous prime is 1054091. The next prime is 1054133. The reversal of 1054125 is 5214501.

It can be written as a sum of positive squares in 4 ways, for example, as 233289 + 820836 = 483^2 + 906^2 .

It is not a de Polignac number, because 1054125 - 2⁶ = 1054061 is a prime.

It is a super-2 number, since 2×1054125² = 2222359031250, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

1054125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1054098 and 1054107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (79261).

2^1054125 is an apocalyptic number.

1054125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054125 is a deficient number, since it is larger than the sum of its proper divisors (848139).

1054125 is an equidigital number, since it uses as much as digits as its factorization.

1054125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1054125 is about 1026.7058975189. The cubic root of 1054125 is about 101.7725612868.

Adding to 1054125 its reverse (5214501), we get a palindrome (6268626).

The spelling of 1054125 in words is "one million, fifty-four thousand, one hundred twenty-five".