61833 has 4 divisors (see below), whose sum is σ = 82448. Its totient is φ = 41220.

The previous prime is 61819. The next prime is 61837. The reversal of 61833 is 33816.

61833 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 61833 - 2¹² = 57737 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

61833 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (61837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10303 + ... + 10308.

It is an arithmetic number, because the mean of its divisors is an integer number (20612).

2⁶¹⁸³³ is an apocalyptic number.

It is an amenable number.

61833 is a deficient number, since it is larger than the sum of its proper divisors (20615).

61833 is a wasteful number, since it uses less digits than its factorization.

61833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20614.

The product of its digits is 432, while the sum is 21.

The square root of 61833 is about 248.6624217690. The cubic root of 61833 is about 39.5433482345.

The spelling of 61833 in words is "sixty-one thousand, eight hundred thirty-three".