126085821 has 16 divisors (see below), whose sum is σ = 178605504. Its totient is φ = 78845184.

The previous prime is 126085807. The next prime is 126085829. The reversal of 126085821 is 128580621.

It is not a de Polignac number, because 126085821 - 2⁷ = 126085693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126085829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11631 + ... + 19683.

It is an arithmetic number, because the mean of its divisors is an integer number (11162844).

Almost surely, 2^126085821 is an apocalyptic number.

It is an amenable number.

126085821 is a deficient number, since it is larger than the sum of its proper divisors (52519683).

126085821 is a wasteful number, since it uses less digits than its factorization.

126085821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380.

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 126085821 is about 11228.7942807765. The cubic root of 126085821 is about 501.4435894213.

The spelling of 126085821 in words is "one hundred twenty-six million, eighty-five thousand, eight hundred twenty-one".