61633 has 8 divisors (see below), whose sum is σ = 72576. Its totient is φ = 51600.

The previous prime is 61631. The next prime is 61637. The reversal of 61633 is 33616.

It is a happy number.

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 61633 - 2¹ = 61631 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 61633.

It is not an unprimeable number, because it can be changed into a prime (61631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁶¹⁶³³ is an apocalyptic number.

It is an amenable number.

61633 is a deficient number, since it is larger than the sum of its proper divisors (10943).

61633 is a wasteful number, since it uses less digits than its factorization.

61633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its digits is 324, while the sum is 19.

The square root of 61633 is about 248.2599444131. The cubic root of 61633 is about 39.5006676168.

The spelling of 61633 in words is "sixty-one thousand, six hundred thirty-three".