85436645 has 48 divisors (see below), whose sum is σ = 128463408. Its totient is φ = 54190080.

The previous prime is 85436641. The next prime is 85436693. The reversal of 85436645 is 54663458.

It can be written as a sum of positive squares in 8 ways, for example, as 3389281 + 82047364 = 1841^2 + 9058^2 .

It is not a de Polignac number, because 85436645 - 2² = 85436641 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85436641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303905 + ... + 304185.

It is an arithmetic number, because the mean of its divisors is an integer number (2676321).

Almost surely, 2^85436645 is an apocalyptic number.

85436645 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85436645 is a deficient number, since it is larger than the sum of its proper divisors (43026763).

85436645 is a wasteful number, since it uses less digits than its factorization.

85436645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The square root of 85436645 is about 9243.1945235400. The cubic root of 85436645 is about 440.4345654953.

The spelling of 85436645 in words is "eighty-five million, four hundred thirty-six thousand, six hundred forty-five".