45577 has 8 divisors (see below), whose sum is σ = 55296. Its totient is φ = 36672.

The previous prime is 45569. The next prime is 45587. The reversal of 45577 is 77554.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45577 - 2³ = 45569 is a prime.

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 (45557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2⁴⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

45577 is a deficient number, since it is larger than the sum of its proper divisors (9719).

45577 is a wasteful number, since it uses less digits than its factorization.

45577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 4900, while the sum is 28.

The square root of 45577 is about 213.4877045640. The cubic root of 45577 is about 35.7203121259.

The spelling of 45577 in words is "forty-five thousand, five hundred seventy-seven".