85641437 has 24 divisors (see below), whose sum is σ = 104860800. Its totient is φ = 68433120.

The previous prime is 85641419. The next prime is 85641467. The reversal of 85641437 is 73414658.

It is not a de Polignac number, because 85641437 - 2⁶ = 85641373 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85641437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85641467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194864 + ... + 195302.

It is an arithmetic number, because the mean of its divisors is an integer number (4369200).

Almost surely, 2^85641437 is an apocalyptic number.

It is an amenable number.

85641437 is a deficient number, since it is larger than the sum of its proper divisors (19219363).

85641437 is a wasteful number, since it uses less digits than its factorization.

85641437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 506 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 85641437 is about 9254.2658812031. The cubic root of 85641437 is about 440.7861925340.

It can be divided in two parts, 8564 and 1437, that added together give a palindrome (10001).

The spelling of 85641437 in words is "eighty-five million, six hundred forty-one thousand, four hundred thirty-seven".