49005 has 30 divisors (see below), whose sum is σ = 96558. Its totient is φ = 23760.

The previous prime is 49003. The next prime is 49009. The reversal of 49005 is 50094.

49005 = 12³ + 13³ + ... + 21³.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 9801 = 198^2 + 99^2 .

It is not a de Polignac number, because 49005 - 2¹ = 49003 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

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 49005.

It is not an unprimeable number, because it can be changed into a prime (49003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4450 + ... + 4460.

2⁴⁹⁰⁰⁵ is an apocalyptic number.

49005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49005 is a deficient number, since it is larger than the sum of its proper divisors (47553).

49005 is a wasteful number, since it uses less digits than its factorization.

49005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 49005 is about 221.3707297725. The cubic root of 49005 is about 36.5943017197.

Multiplying 49005 by its product of nonzero digits (180), we get a square (8820900 = 2970²).

Adding to 49005 its reverse (50094), we get a palindrome (99099).

Subtracting 49005 from its reverse (50094), we obtain a square (1089 = 33²).

It can be divided in two parts, 4 and 9005, that added together give a palindrome (9009).

The spelling of 49005 in words is "forty-nine thousand, five".