27945 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 14256.

The previous prime is 27943. The next prime is 27947. The reversal of 27945 is 54972.

27945 = 9³ + 10³ + ... + 18³.

It is an interprime number because it is at equal distance from previous prime (27943) and next prime (27947).

It is not a de Polignac number, because 27945 - 2¹ = 27943 is a prime.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (27941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2²⁷⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

27945 is a deficient number, since it is larger than the sum of its proper divisors (24471).

27945 is an equidigital number, since it uses as much as digits as its factorization.

27945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 31 counting only the distinct ones).

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

The square root of 27945 is about 167.1675805891. The cubic root of 27945 is about 30.3459942585.

Adding to 27945 its sum of digits (27), we get a palindrome (27972).

27945 divided by its sum of digits (27) gives a triangular number (1035 = T₄₅).

Subtracting from 27945 its product of digits (2520), we obtain a triangular number (25425 = T₂₂₅).

It can be divided in two parts, 279 and 45, that added together give a square (324 = 18²).

The spelling of 27945 in words is "twenty-seven thousand, nine hundred forty-five".