45777 has 4 divisors (see below), whose sum is σ = 61040. Its totient is φ = 30516.

The previous prime is 45767. The next prime is 45779. The reversal of 45777 is 77754.

It is a happy number.

45777 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 45777 - 2¹⁰ = 44753 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (45779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7627 + ... + 7632.

It is an arithmetic number, because the mean of its divisors is an integer number (15260).

2⁴⁵⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

45777 is a deficient number, since it is larger than the sum of its proper divisors (15263).

45777 is a wasteful number, since it uses less digits than its factorization.

45777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15262.

The product of its digits is 6860, while the sum is 30.

The square root of 45777 is about 213.9556028712. The cubic root of 45777 is about 35.7724849179.

The spelling of 45777 in words is "forty-five thousand, seven hundred seventy-seven".