73561 has 2 divisors, whose sum is σ = 73562. Its totient is φ = 73560.

The previous prime is 73553. The next prime is 73571. The reversal of 73561 is 16537.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 25600 = 219^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 73561 - 2³ = 73553 is a prime.

It is a super-2 number, since 2×73561² = 10822441442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (73571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36780 + 36781.

It is an arithmetic number, because the mean of its divisors is an integer number (36781).

2⁷³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

73561 is a deficient number, since it is larger than the sum of its proper divisors (1).

73561 is an equidigital number, since it uses as much as digits as its factorization.

73561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 22.

The square root of 73561 is about 271.2213118470. The cubic root of 73561 is about 41.9001786646.

The spelling of 73561 in words is "seventy-three thousand, five hundred sixty-one".