85961044 has 24 divisors (see below), whose sum is σ = 171534888. Its totient is φ = 37340160.

The previous prime is 85961033. The next prime is 85961059. The reversal of 85961044 is 44016958.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 85784644 = 420^2 + 9262^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85960994 and 85961012.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 441.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47737 + ... + 49504.

It is an arithmetic number, because the mean of its divisors is an integer number (7147287).

Almost surely, 2^85961044 is an apocalyptic number.

It is an amenable number.

85961044 is a deficient number, since it is larger than the sum of its proper divisors (85573844).

85961044 is a wasteful number, since it uses less digits than its factorization.

85961044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97275 (or 97273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 85961044 is about 9271.5178908310. The cubic root of 85961044 is about 441.3338381251. Note that the first 3 decimals are identical.

The spelling of 85961044 in words is "eighty-five million, nine hundred sixty-one thousand, forty-four".