45761 has 4 divisors (see below), whose sum is σ = 46512. Its totient is φ = 45012.

The previous prime is 45757. The next prime is 45763. The reversal of 45761 is 16754.

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, and also an emirpimes, since its reverse is a distinct semiprime: 16754 = 2 ⋅8377.

It is a cyclic number.

It is not a de Polignac number, because 45761 - 2² = 45757 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (11628).

2⁴⁵⁷⁶¹ is an apocalyptic number.

It is an amenable number.

45761 is a deficient number, since it is larger than the sum of its proper divisors (751).

45761 is an equidigital number, since it uses as much as digits as its factorization.

45761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

The product of its digits is 840, while the sum is 23.

The square root of 45761 is about 213.9182086686. The cubic root of 45761 is about 35.7683166933.

The spelling of 45761 in words is "forty-five thousand, seven hundred sixty-one".