61564 has 6 divisors (see below), whose sum is σ = 107744. Its totient is φ = 30780.

The previous prime is 61561. The next prime is 61583. The reversal of 61564 is 46516.

It is an Ulam 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 polite number, since it can be written as a sum of consecutive naturals, namely, 7692 + ... + 7699.

2⁶¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

61564 is a deficient number, since it is larger than the sum of its proper divisors (46180).

61564 is a wasteful number, since it uses less digits than its factorization.

61564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15395 (or 15393 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 61564 is about 248.1209382539. The cubic root of 61564 is about 39.4859213834.

It can be divided in two parts, 61 and 564, that added together give a 4-th power (625 = 5⁴).

The spelling of 61564 in words is "sixty-one thousand, five hundred sixty-four".