85544001 has 9 divisors (see below), whose sum is σ = 123603649. Its totient is φ = 57010836.

The previous prime is 85543993. The next prime is 85544047. The reversal of 85544001 is 10044558.

The square root of 85544001 is 9249.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 85544001 - 2³ = 85543993 is a prime.

It is a super-2 number, since 2×85544001² = 14635552214176002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85546001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26206 + ... + 29288.

Almost surely, 2^85544001 is an apocalyptic number.

85544001 is the 9249-th square number.

85544001 is the 4625-th centered octagonal number.

It is an amenable number.

85544001 is a deficient number, since it is larger than the sum of its proper divisors (38059648).

85544001 is an frugal number, since it uses more digits than its factorization.

85544001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The cubic root of 85544001 is about 440.6189653014.

Adding to 85544001 its reverse (10044558), we get a palindrome (95588559).

The spelling of 85544001 in words is "eighty-five million, five hundred forty-four thousand, one".