49617 has 12 divisors (see below), whose sum is σ = 74100. Its totient is φ = 31968.

The previous prime is 49613. The next prime is 49627. The reversal of 49617 is 71694.

49617 is a `hidden beast` number, since 49 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 24336 = 159^2 + 156^2 .

It is not a de Polignac number, because 49617 - 2² = 49613 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1512) is a multiple of the sum of its prime divisors (189).

49617 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49617.

It is not an unprimeable number, because it can be changed into a prime (49613) 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 in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (6175).

2⁴⁹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

49617 is a deficient number, since it is larger than the sum of its proper divisors (24483).

49617 is a wasteful number, since it uses less digits than its factorization.

49617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 49617 is about 222.7487373702. The cubic root of 49617 is about 36.7460081739.

It can be divided in two parts, 49 and 617, that added together give a palindrome (666).

The spelling of 49617 in words is "forty-nine thousand, six hundred seventeen".