61533 has 16 divisors (see below), whose sum is σ = 95040. Its totient is φ = 39312.

The previous prime is 61519. The next prime is 61543. The reversal of 61533 is 33516.

It is not a de Polignac number, because 61533 - 2⁶ = 61469 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁶¹⁵³³ is an apocalyptic number.

It is an amenable number.

61533 is a deficient number, since it is larger than the sum of its proper divisors (33507).

61533 is a wasteful number, since it uses less digits than its factorization.

61533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 61533 is about 248.0584608515. The cubic root of 61533 is about 39.4792926768.

The spelling of 61533 in words is "sixty-one thousand, five hundred thirty-three".