85438953 has 18 divisors (see below), whose sum is σ = 130253994. Its totient is φ = 53959392.

The previous prime is 85438939. The next prime is 85438987. The reversal of 85438953 is 35983458.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72131049 + 13307904 = 8493^2 + 3648^2 .

It is not a de Polignac number, because 85438953 - 2⁵ = 85438921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85438899 and 85438908.

It is not an unprimeable number, because it can be changed into a prime (85438933) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9900 + ... + 16397.

It is an arithmetic number, because the mean of its divisors is an integer number (7236333).

Almost surely, 2^85438953 is an apocalyptic number.

It is an amenable number.

85438953 is a deficient number, since it is larger than the sum of its proper divisors (44815041).

85438953 is a wasteful number, since it uses less digits than its factorization.

85438953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26341 (or 26319 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 85438953 is about 9243.3193713081. The cubic root of 85438953 is about 440.4385314509.

The spelling of 85438953 in words is "eighty-five million, four hundred thirty-eight thousand, nine hundred fifty-three".