85137541 has 2 divisors, whose sum is σ = 85137542. Its totient is φ = 85137540.

The previous prime is 85137527. The next prime is 85137553. The reversal of 85137541 is 14573158.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68409441 + 16728100 = 8271^2 + 4090^2 .

It is a cyclic number.

It is not a de Polignac number, because 85137541 - 2¹³ = 85129349 is a prime.

It is a super-3 number, since 3×85137541³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85137497 and 85137506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85137341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42568770 + 42568771.

It is an arithmetic number, because the mean of its divisors is an integer number (42568771).

Almost surely, 2^85137541 is an apocalyptic number.

It is an amenable number.

85137541 is a deficient number, since it is larger than the sum of its proper divisors (1).

85137541 is an equidigital number, since it uses as much as digits as its factorization.

85137541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16800, while the sum is 34.

The square root of 85137541 is about 9227.0006502655. Note that the first 3 decimals coincide. The cubic root of 85137541 is about 439.9199940621.

The spelling of 85137541 in words is "eighty-five million, one hundred thirty-seven thousand, five hundred forty-one".