83822733 has 24 divisors (see below), whose sum is σ = 130630968. Its totient is φ = 51597312.

The previous prime is 83822719. The next prime is 83822759. The reversal of 83822733 is 33722838.

83822733 is a `hidden beast` number, since 8 + 382 + 273 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10771524 + 73051209 = 3282^2 + 8547^2 .

It is not a de Polignac number, because 83822733 - 2¹⁶ = 83757197 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83822033) 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, 2941 + ... + 13277.

It is an arithmetic number, because the mean of its divisors is an integer number (5442957).

Almost surely, 2^83822733 is an apocalyptic number.

It is an amenable number.

83822733 is a deficient number, since it is larger than the sum of its proper divisors (46808235).

83822733 is a wasteful number, since it uses less digits than its factorization.

83822733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10410 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 83822733 is about 9155.4755747585. The cubic root of 83822733 is about 437.6436239203.

The spelling of 83822733 in words is "eighty-three million, eight hundred twenty-two thousand, seven hundred thirty-three".