1993005 has 80 divisors (see below), whose sum is σ = 4414080. Its totient is φ = 839808.

The previous prime is 1992983. The next prime is 1993031. The reversal of 1993005 is 5003991.

It is not a de Polignac number, because 1993005 - 2⁷ = 1992877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1993005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53847 + ... + 53883.

It is an arithmetic number, because the mean of its divisors is an integer number (55176).

2^1993005 is an apocalyptic number.

1993005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1993005 is an abundant number, since it is smaller than the sum of its proper divisors (2421075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1993005 is a wasteful number, since it uses less digits than its factorization.

1993005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 1993005 is about 1411.7382901940. The cubic root of 1993005 is about 125.8450476159.

Adding to 1993005 its reverse (5003991), we get a palindrome (6996996).

The spelling of 1993005 in words is "one million, nine hundred ninety-three thousand, five".