83733 has 16 divisors (see below), whose sum is σ = 127680. Its totient is φ = 48384.

The previous prime is 83719. The next prime is 83737. The reversal of 83733 is 33738.

It is not a de Polignac number, because 83733 - 2⁴ = 83717 is a prime.

It is a super-2 number, since 2×83733² = 14022430578, which contains 22 as substring.

83733 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83737) 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, 685 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁸³⁷³³ is an apocalyptic number.

It is an amenable number.

83733 is a deficient number, since it is larger than the sum of its proper divisors (43947).

83733 is a wasteful number, since it uses less digits than its factorization.

83733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its digits is 1512, while the sum is 24.

The square root of 83733 is about 289.3665495526. The cubic root of 83733 is about 43.7487400998.

It can be divided in two parts, 8 and 3733, that added together give a triangular number (3741 = T₈₆).

The spelling of 83733 in words is "eighty-three thousand, seven hundred thirty-three".