3005977 has 8 divisors (see below), whose sum is σ = 3342080. Its totient is φ = 2684880.

The previous prime is 3005969. The next prime is 3005983. The reversal of 3005977 is 7795003.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3005977 - 2³ = 3005969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3005987) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3327 + ... + 4132.

It is an arithmetic number, because the mean of its divisors is an integer number (417760).

Almost surely, 2^3005977 is an apocalyptic number.

It is an amenable number.

3005977 is a deficient number, since it is larger than the sum of its proper divisors (336103).

3005977 is a wasteful number, since it uses less digits than its factorization.

3005977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503.

The product of its (nonzero) digits is 6615, while the sum is 31.

The square root of 3005977 is about 1733.7753603048. The cubic root of 3005977 is about 144.3206748880.

The spelling of 3005977 in words is "three million, five thousand, nine hundred seventy-seven".