85562821 has 16 divisors (see below), whose sum is σ = 90308608. Its totient is φ = 80967600.

The previous prime is 85562801. The next prime is 85562903. The reversal of 85562821 is 12826558.

85562821 is a nontrivial binomial coefficient, being equal to C(13082, 2).

It is a cyclic number.

It is not a de Polignac number, because 85562821 - 2⁷ = 85562693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85562801) 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 15 ways as a sum of consecutive naturals, for example, 405406 + ... + 405616.

It is an arithmetic number, because the mean of its divisors is an integer number (5644288).

Almost surely, 2^85562821 is an apocalyptic number.

85562821 is the 13081-st triangular number and also the 6541-st hexagonal number.

85562821 is the 5341-st hex number and also the 4361-st centered nonagonal number.

It is an amenable number.

85562821 is a deficient number, since it is larger than the sum of its proper divisors (4745787).

85562821 is a wasteful number, since it uses less digits than its factorization.

85562821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its digits is 38400, while the sum is 37.

The square root of 85562821 is about 9250.0173513351. The cubic root of 85562821 is about 440.6512755385.

The spelling of 85562821 in words is "eighty-five million, five hundred sixty-two thousand, eight hundred twenty-one".