1958125 has 20 divisors (see below), whose sum is σ = 2646028. Its totient is φ = 1440000.

The previous prime is 1958107. The next prime is 1958137. The reversal of 1958125 is 5218591.

It can be written as a sum of positive squares in 10 ways, for example, as 1605289 + 352836 = 1267^2 + 594^2 .

It is not a de Polignac number, because 1958125 - 2⁷ = 1957997 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8005 + ... + 8245.

2^1958125 is an apocalyptic number.

It is an amenable number.

1958125 is a deficient number, since it is larger than the sum of its proper divisors (687903).

1958125 is an equidigital number, since it uses as much as digits as its factorization.

1958125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its digits is 3600, while the sum is 31.

The square root of 1958125 is about 1399.3301969157. The cubic root of 1958125 is about 125.1065757737.

The spelling of 1958125 in words is "one million, nine hundred fifty-eight thousand, one hundred twenty-five".