1948005 has 24 divisors (see below), whose sum is σ = 3428568. Its totient is φ = 1022976.

The previous prime is 1947997. The next prime is 1948021. The reversal of 1948005 is 5008491.

It can be written as a sum of positive squares in 4 ways, for example, as 314721 + 1633284 = 561^2 + 1278^2 .

It is not a de Polignac number, because 1948005 - 2³ = 1947997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1948005.

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 23 ways as a sum of consecutive naturals, for example, 2989 + ... + 3581.

It is an arithmetic number, because the mean of its divisors is an integer number (142857).

2^1948005 is an apocalyptic number.

1948005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1948005 is a deficient number, since it is larger than the sum of its proper divisors (1480563).

1948005 is a wasteful number, since it uses less digits than its factorization.

1948005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1948005 is about 1395.7094969943. The cubic root of 1948005 is about 124.8906777504.

The spelling of 1948005 in words is "one million, nine hundred forty-eight thousand, five".