49185 has 12 divisors (see below), whose sum is σ = 85332. Its totient is φ = 26208.

The previous prime is 49177. The next prime is 49193. The reversal of 49185 is 58194.

49185 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (49177) and next prime (49193).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 12321 = 192^2 + 111^2 .

It is not a de Polignac number, because 49185 - 2³ = 49177 is a prime.

It is an Ulam number.

It is a plaindrome in base 12.

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 49185.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (7111).

2⁴⁹¹⁸⁵ is an apocalyptic number.

49185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49185 is a deficient number, since it is larger than the sum of its proper divisors (36147).

49185 is a wasteful number, since it uses less digits than its factorization.

49185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1101 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 49185 is about 221.7769149393. The cubic root of 49185 is about 36.6390517511.

Adding to 49185 its product of digits (1440), we get a 4-th power (50625 = 15⁴).

Subtracting 49185 from its reverse (58194), we obtain a palindrome (9009).

It can be divided in two parts, 491 and 85, that added together give a square (576 = 24²).

The spelling of 49185 in words is "forty-nine thousand, one hundred eighty-five".