3833977 has 16 divisors (see below), whose sum is σ = 4574592. Its totient is φ = 3144960.

The previous prime is 3833971. The next prime is 3833989. The reversal of 3833977 is 7793383.

It is not a de Polignac number, because 3833977 - 2¹¹ = 3831929 is a prime.

It is a Duffinian number.

3833977 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3833971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29202 + ... + 29332.

It is an arithmetic number, because the mean of its divisors is an integer number (285912).

Almost surely, 2^3833977 is an apocalyptic number.

3833977 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3833977 is a deficient number, since it is larger than the sum of its proper divisors (740615).

3833977 is a wasteful number, since it uses less digits than its factorization.

3833977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 95256, while the sum is 40.

The square root of 3833977 is about 1958.0543914815. The cubic root of 3833977 is about 156.5127904159.

It can be divided in two parts, 38339 and 77, that added together give a 4-th power (38416 = 14⁴).

The spelling of 3833977 in words is "three million, eight hundred thirty-three thousand, nine hundred seventy-seven".