4077977 has 8 divisors (see below), whose sum is σ = 4364136. Its totient is φ = 3796992.

The previous prime is 4077971. The next prime is 4078003. The reversal of 4077977 is 7797704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1466521 + 2611456 = 1211^2 + 1616^2 .

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 4077977 - 2¹⁶ = 4012441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4077971) 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, 413 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (545517).

Almost surely, 2^4077977 is an apocalyptic number.

4077977 is the 1649-th pentagonal number.

It is an amenable number.

4077977 is a deficient number, since it is larger than the sum of its proper divisors (286159).

4077977 is a wasteful number, since it uses less digits than its factorization.

4077977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587.

The product of its (nonzero) digits is 86436, while the sum is 41.

The square root of 4077977 is about 2019.4001584629. The cubic root of 4077977 is about 159.7649804763.

The spelling of 4077977 in words is "four million, seventy-seven thousand, nine hundred seventy-seven".