45927 has 18 divisors (see below), whose sum is σ = 78728. Its totient is φ = 26244.

The previous prime is 45893. The next prime is 45943. The reversal of 45927 is 72954.

Adding to 45927 its sum of digits (27), we get a palindrome (45954).

It is not a de Polignac number, because 45927 - 2^{6} = 45863 is a prime.

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

It is a Duffinian number.

Its product of digits (2520) is a multiple of the sum of its prime divisors (10).

45927 is a lucky number.

It is a nialpdrome in base 3 and base 9.

It is a self number, because there is not a number *n* which added to its sum of digits gives 45927.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 45927.

It is not an unprimeable number, because it can be changed into a prime (45127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6558 + ... + 6564.

45927 is a Friedman number, since it can be written as 7*(9*(5+4))^2, using all its digits and the basic arithmetic operations.

2^{45927} is an apocalyptic number.

45927 is a deficient number, since it is larger than the sum of its proper divisors (32801).

45927 is an frugal number, since it uses more digits than its factorization.

45927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 10 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 45927 is about 214.3058561962. The cubic root of 45927 is about 35.8115148711.

The spelling of 45927 in words is "forty-five thousand, nine hundred twenty-seven".

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