61567 has 8 divisors (see below), whose sum is σ = 69840. Its totient is φ = 53760.

The previous prime is 61561. The next prime is 61583. The reversal of 61567 is 76516.

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

It is a cyclic number.

It is not a de Polignac number, because 61567 - 2³ = 61559 is a prime.

It is a Duffinian 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 (61561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (8730).

2⁶¹⁵⁶⁷ is an apocalyptic number.

61567 is a deficient number, since it is larger than the sum of its proper divisors (8273).

61567 is a wasteful number, since it uses less digits than its factorization.

61567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 1260, while the sum is 25.

The square root of 61567 is about 248.1269836193. The cubic root of 61567 is about 39.4865627530.

The spelling of 61567 in words is "sixty-one thousand, five hundred sixty-seven".