81735849 has 48 divisors (see below), whose sum is σ = 132787200. Its totient is φ = 48117888.

The previous prime is 81735817. The next prime is 81735877. The reversal of 81735849 is 94853718.

81735849 = 24³ + 25³ + ... + 134³.

It is not a de Polignac number, because 81735849 - 2⁵ = 81735817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81735889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341872 + ... + 342110.

It is an arithmetic number, because the mean of its divisors is an integer number (2766400).

Almost surely, 2^81735849 is an apocalyptic number.

It is an amenable number.

81735849 is a deficient number, since it is larger than the sum of its proper divisors (51051351).

81735849 is a wasteful number, since it uses less digits than its factorization.

81735849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 81735849 is about 9040.7880740564. The cubic root of 81735849 is about 433.9811430430.

The spelling of 81735849 in words is "eighty-one million, seven hundred thirty-five thousand, eight hundred forty-nine".