49305 has 16 divisors (see below), whose sum is σ = 83520. Its totient is φ = 24768.

The previous prime is 49297. The next prime is 49307. The reversal of 49305 is 50394.

It is not a de Polignac number, because 49305 - 2³ = 49297 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (49307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (5220).

2⁴⁹³⁰⁵ is an apocalyptic number.

It is an amenable number.

49305 is a deficient number, since it is larger than the sum of its proper divisors (34215).

49305 is a wasteful number, since it uses less digits than its factorization.

49305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 49305 is about 222.0472922600. The cubic root of 49305 is about 36.6688244827.

Subtracting from 49305 its sum of digits (21), we obtain a square (49284 = 222²).

Adding to 49305 its reverse (50394), we get a palindrome (99699).

Subtracting 49305 from its reverse (50394), we obtain a square (1089 = 33²).

The spelling of 49305 in words is "forty-nine thousand, three hundred five".