45765 has 20 divisors (see below), whose sum is σ = 82764. Its totient is φ = 24192.

The previous prime is 45763. The next prime is 45767. The reversal of 45765 is 56754.

45765 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 an interprime number because it is at equal distance from previous prime (45763) and next prime (45767).

It can be written as a sum of positive squares in 2 ways, for example, as 6561 + 39204 = 81^2 + 198^2 .

It is not a de Polignac number, because 45765 - 2¹ = 45763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 12.

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 (45763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 349 + ... + 461.

2⁴⁵⁷⁶⁵ is an apocalyptic number.

45765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45765 is a deficient number, since it is larger than the sum of its proper divisors (36999).

45765 is a wasteful number, since it uses less digits than its factorization.

45765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 45765 is about 213.9275578321. The cubic root of 45765 is about 35.7693588405.

The spelling of 45765 in words is "forty-five thousand, seven hundred sixty-five".