85261749 has 32 divisors (see below), whose sum is σ = 125337600. Its totient is φ = 51321600.

The previous prime is 85261741. The next prime is 85261753. The reversal of 85261749 is 94716258.

It is not a de Polignac number, because 85261749 - 2³ = 85261741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85261749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85261741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314484 + ... + 314754.

It is an arithmetic number, because the mean of its divisors is an integer number (3916800).

Almost surely, 2^85261749 is an apocalyptic number.

It is an amenable number.

85261749 is a deficient number, since it is larger than the sum of its proper divisors (40075851).

85261749 is a wasteful number, since it uses less digits than its factorization.

85261749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521.

The product of its digits is 120960, while the sum is 42.

The square root of 85261749 is about 9233.7288784109. The cubic root of 85261749 is about 440.1338246516.

The spelling of 85261749 in words is "eighty-five million, two hundred sixty-one thousand, seven hundred forty-nine".