83729985 has 32 divisors (see below), whose sum is σ = 137047680. Its totient is φ = 43642368.

The previous prime is 83729963. The next prime is 83729993. The reversal of 83729985 is 58992738.

83729985 = 87² + 88² + ... + 631².

It is not a de Polignac number, because 83729985 - 2⁹ = 83729473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135397 + ... + 136013.

It is an arithmetic number, because the mean of its divisors is an integer number (4282740).

Almost surely, 2^83729985 is an apocalyptic number.

It is an amenable number.

83729985 is a deficient number, since it is larger than the sum of its proper divisors (53317695).

83729985 is a wasteful number, since it uses less digits than its factorization.

83729985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817.

The product of its digits is 1088640, while the sum is 51.

The square root of 83729985 is about 9150.4090072521. The cubic root of 83729985 is about 437.4821500200.

The spelling of 83729985 in words is "eighty-three million, seven hundred twenty-nine thousand, nine hundred eighty-five".