85551961 has 12 divisors (see below), whose sum is σ = 94883796. Its totient is φ = 77073920.

The previous prime is 85551941. The next prime is 85551967. The reversal of 85551961 is 16915558.

It can be written as a sum of positive squares in 2 ways, for example, as 44142736 + 41409225 = 6644^2 + 6435^2 .

It is not a de Polignac number, because 85551961 - 2⁷ = 85551833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85551967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10545 + ... + 16801.

It is an arithmetic number, because the mean of its divisors is an integer number (7906983).

Almost surely, 2^85551961 is an apocalyptic number.

It is an amenable number.

85551961 is a deficient number, since it is larger than the sum of its proper divisors (9331835).

85551961 is a wasteful number, since it uses less digits than its factorization.

85551961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6381 counting only the distinct ones).

The product of its digits is 54000, while the sum is 40.

The square root of 85551961 is about 9249.4303067811. The cubic root of 85551961 is about 440.6326316335.

The spelling of 85551961 in words is "eighty-five million, five hundred fifty-one thousand, nine hundred sixty-one".