85931649 has 24 divisors (see below), whose sum is σ = 128187072. Its totient is φ = 55429920.

The previous prime is 85931647. The next prime is 85931689. The reversal of 85931649 is 94613958.

It is a happy number.

85931649 is a `hidden beast` number, since 8 + 593 + 16 + 49 = 666.

It is not a de Polignac number, because 85931649 - 2¹ = 85931647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85931647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69652 + ... + 70874.

It is an arithmetic number, because the mean of its divisors is an integer number (5341128).

Almost surely, 2^85931649 is an apocalyptic number.

It is an amenable number.

85931649 is a deficient number, since it is larger than the sum of its proper divisors (42255423).

85931649 is a wasteful number, since it uses less digits than its factorization.

85931649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1474 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 85931649 is about 9269.9325240263. The cubic root of 85931649 is about 441.2835266251.

The spelling of 85931649 in words is "eighty-five million, nine hundred thirty-one thousand, six hundred forty-nine".