45771 has 16 divisors (see below), whose sum is σ = 71040. Its totient is φ = 25920.

The previous prime is 45767. The next prime is 45779. The reversal of 45771 is 17754.

It is not a de Polignac number, because 45771 - 2² = 45767 is a prime.

45771 is an undulating number in base 8.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 591 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (4440).

2⁴⁵⁷⁷¹ is an apocalyptic number.

45771 is a deficient number, since it is larger than the sum of its proper divisors (25269).

45771 is a wasteful number, since it uses less digits than its factorization.

45771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its digits is 980, while the sum is 24.

The square root of 45771 is about 213.9415808112. The cubic root of 45771 is about 35.7709219475.

It can be divided in two parts, 457 and 71, that added together give a triangular number (528 = T₃₂).

The spelling of 45771 in words is "forty-five thousand, seven hundred seventy-one".