45827 has 2 divisors, whose sum is σ = 45828. Its totient is φ = 45826.

The previous prime is 45823. The next prime is 45833. The reversal of 45827 is 72854.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 45827 - 2² = 45823 is a prime.

It is a super-2 number, since 2×45827² = 4200227858, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45796 and 45805.

It is not a weakly prime, because it can be changed into another prime (45821) 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 as a sum of consecutive naturals, namely, 22913 + 22914.

It is an arithmetic number, because the mean of its divisors is an integer number (22914).

2⁴⁵⁸²⁷ is an apocalyptic number.

45827 is a deficient number, since it is larger than the sum of its proper divisors (1).

45827 is an equidigital number, since it uses as much as digits as its factorization.

45827 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 26.

The square root of 45827 is about 214.0724176535. The cubic root of 45827 is about 35.7855043631.

The spelling of 45827 in words is "forty-five thousand, eight hundred twenty-seven".