3005991 has 40 divisors (see below), whose sum is σ = 4965840. Its totient is φ = 1804032.

The previous prime is 3005987. The next prime is 3005999. The reversal of 3005991 is 1995003.

It is not a de Polignac number, because 3005991 - 2² = 3005987 is a prime.

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

3005991 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50920 + ... + 50978.

It is an arithmetic number, because the mean of its divisors is an integer number (124146).

Almost surely, 2^3005991 is an apocalyptic number.

3005991 is a deficient number, since it is larger than the sum of its proper divisors (1959849).

3005991 is a wasteful number, since it uses less digits than its factorization.

3005991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

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

The square root of 3005991 is about 1733.7793977320. The cubic root of 3005991 is about 144.3208989401.

The spelling of 3005991 in words is "three million, five thousand, nine hundred ninety-one".