6401577 has 32 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 3332160.

The previous prime is 6401569. The next prime is 6401579. The reversal of 6401577 is 7751046.

It is a happy number.

It is not a de Polignac number, because 6401577 - 2³ = 6401569 is a prime.

6401577 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6401579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35674 + ... + 35852.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^6401577 is an apocalyptic number.

It is an amenable number.

6401577 is a deficient number, since it is larger than the sum of its proper divisors (4242903).

6401577 is a wasteful number, since it uses less digits than its factorization.

6401577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 6401577 is about 2530.1337909289. The cubic root of 6401577 is about 185.6788016455.

The spelling of 6401577 in words is "six million, four hundred one thousand, five hundred seventy-seven".