5977761 has 32 divisors (see below), whose sum is σ = 9216000. Its totient is φ = 3421440.

The previous prime is 5977753. The next prime is 5977801. The reversal of 5977761 is 1677795.

It is not a de Polignac number, because 5977761 - 2³ = 5977753 is a prime.

5977761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5977261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29940 + ... + 30138.

It is an arithmetic number, because the mean of its divisors is an integer number (288000).

Almost surely, 2^5977761 is an apocalyptic number.

5977761 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5977761 is a deficient number, since it is larger than the sum of its proper divisors (3238239).

5977761 is a wasteful number, since it uses less digits than its factorization.

5977761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269.

The product of its digits is 92610, while the sum is 42.

The square root of 5977761 is about 2444.9460116739. The cubic root of 5977761 is about 181.4872760852.

The spelling of 5977761 in words is "five million, nine hundred seventy-seven thousand, seven hundred sixty-one".