56633 has 2 divisors, whose sum is σ = 56634. Its totient is φ = 56632.

The previous prime is 56629. The next prime is 56659. The reversal of 56633 is 33665.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 2809 = 232^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 56633 - 2² = 56629 is a prime.

It is a d-powerful number, because it can be written as 5 + 6⁵ + 6⁶ + 3² + 3⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 56599 and 56608.

It is not a weakly prime, because it can be changed into another prime (56663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28316 + 28317.

It is an arithmetic number, because the mean of its divisors is an integer number (28317).

2⁵⁶⁶³³ is an apocalyptic number.

It is an amenable number.

56633 is a deficient number, since it is larger than the sum of its proper divisors (1).

56633 is an equidigital number, since it uses as much as digits as its factorization.

56633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1620, while the sum is 23.

The square root of 56633 is about 237.9768896343. The cubic root of 56633 is about 38.4022369212.

The spelling of 56633 in words is "fifty-six thousand, six hundred thirty-three".