85832721 has 48 divisors (see below), whose sum is σ = 141719760. Its totient is φ = 49674240.

The previous prime is 85832717. The next prime is 85832737. The reversal of 85832721 is 12723858.

85832721 is a `hidden beast` number, since 8 + 583 + 2 + 72 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41796225 + 44036496 = 6465^2 + 6636^2 .

It is not a de Polignac number, because 85832721 - 2² = 85832717 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (85832701) 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, 138805 + ... + 139421.

It is an arithmetic number, because the mean of its divisors is an integer number (2952495).

Almost surely, 2^85832721 is an apocalyptic number.

It is an amenable number.

85832721 is a deficient number, since it is larger than the sum of its proper divisors (55887039).

85832721 is a wasteful number, since it uses less digits than its factorization.

85832721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 85832721 is about 9264.5950262275. The cubic root of 85832721 is about 441.1141204341.

The spelling of 85832721 in words is "eighty-five million, eight hundred thirty-two thousand, seven hundred twenty-one".