85446101 has 16 divisors (see below), whose sum is σ = 94590720. Its totient is φ = 76699200.

The previous prime is 85446089. The next prime is 85446133. The reversal of 85446101 is 10164458.

It is a cyclic number.

It is not a de Polignac number, because 85446101 - 2⁶ = 85446037 is a prime.

It is a super-2 number, since 2×85446101² = 14602072352204402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85446001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76916 + ... + 78018.

It is an arithmetic number, because the mean of its divisors is an integer number (5911920).

Almost surely, 2^85446101 is an apocalyptic number.

It is an amenable number.

85446101 is a deficient number, since it is larger than the sum of its proper divisors (9144619).

85446101 is a wasteful number, since it uses less digits than its factorization.

85446101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 85446101 is about 9243.7060208555. The cubic root of 85446101 is about 440.4508137754.

The spelling of 85446101 in words is "eighty-five million, four hundred forty-six thousand, one hundred one".