49567 has 8 divisors (see below), whose sum is σ = 58016. Its totient is φ = 41472.

The previous prime is 49559. The next prime is 49597. The reversal of 49567 is 76594.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 9-Lehmer number, since φ(49567) divides (49567-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 49567 - 2³ = 49559 is a prime.

49567 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (7252).

2⁴⁹⁵⁶⁷ is an apocalyptic number.

49567 is a deficient number, since it is larger than the sum of its proper divisors (8449).

49567 is an equidigital number, since it uses as much as digits as its factorization.

49567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177.

The product of its digits is 7560, while the sum is 31.

The square root of 49567 is about 222.6364749990. The cubic root of 49567 is about 36.7336608070.

It can be divided in two parts, 49 and 567, that added together give a palindrome (616).

The spelling of 49567 in words is "forty-nine thousand, five hundred sixty-seven".