83730267 has 18 divisors (see below), whose sum is σ = 125637148. Its totient is φ = 55725084.

The previous prime is 83730239. The next prime is 83730271. The reversal of 83730267 is 76203738.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 83730267 - 2⁸ = 83730011 is a prime.

It is a super-2 number, since 2×83730267² = 14021515223782578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83730067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142348 + ... + 142934.

Almost surely, 2^83730267 is an apocalyptic number.

83730267 is a deficient number, since it is larger than the sum of its proper divisors (41906881).

83730267 is an frugal number, since it uses more digits than its factorization.

83730267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 83730267 is about 9150.4244163864. The cubic root of 83730267 is about 437.4826411616.

The spelling of 83730267 in words is "eighty-three million, seven hundred thirty thousand, two hundred sixty-seven".