83033730 has 48 divisors (see below), whose sum is σ = 232497720. Its totient is φ = 20438784.

The previous prime is 83033681. The next prime is 83033737. The reversal of 83033730 is 3733038.

It can be written as a sum of positive squares in 4 ways, for example, as 31236921 + 51796809 = 5589^2 + 7197^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83033694 and 83033703.

It is not an unprimeable number, because it can be changed into a prime (83033737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34315 + ... + 36654.

Almost surely, 2^83033730 is an apocalyptic number.

83033730 is an abundant number, since it is smaller than the sum of its proper divisors (149463990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83033730 is a wasteful number, since it uses less digits than its factorization.

83033730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70995 (or 70992 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 83033730 is about 9112.2845653546. The cubic root of 83033730 is about 436.2661485581.

Adding to 83033730 its reverse (3733038), we get a palindrome (86766768).

The spelling of 83033730 in words is "eighty-three million, thirty-three thousand, seven hundred thirty".