1993905 has 24 divisors (see below), whose sum is σ = 3519360. Its totient is φ = 1044000.

The previous prime is 1993877. The next prime is 1993921. The reversal of 1993905 is 5093991.

It is not a de Polignac number, because 1993905 - 2¹³ = 1985713 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1993905.

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, 2280 + ... + 3030.

It is an arithmetic number, because the mean of its divisors is an integer number (146640).

2^1993905 is an apocalyptic number.

1993905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1993905 is a deficient number, since it is larger than the sum of its proper divisors (1525455).

1993905 is a wasteful number, since it uses less digits than its factorization.

1993905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 1993905 is about 1412.0570101805. The cubic root of 1993905 is about 125.8639877755.

The spelling of 1993905 in words is "one million, nine hundred ninety-three thousand, nine hundred five".