85505437 has 2 divisors, whose sum is σ = 85505438. Its totient is φ = 85505436.

The previous prime is 85505419. The next prime is 85505447. The reversal of 85505437 is 73450558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47485881 + 38019556 = 6891^2 + 6166^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85505437 is a prime.

It is a super-2 number, since 2×85505437² = 14622359513121938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85505396 and 85505405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85505447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42752718 + 42752719.

It is an arithmetic number, because the mean of its divisors is an integer number (42752719).

Almost surely, 2^85505437 is an apocalyptic number.

It is an amenable number.

85505437 is a deficient number, since it is larger than the sum of its proper divisors (1).

85505437 is an equidigital number, since it uses as much as digits as its factorization.

85505437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 85505437 is about 9246.9149990686. The cubic root of 85505437 is about 440.5527436938.

The spelling of 85505437 in words is "eighty-five million, five hundred five thousand, four hundred thirty-seven".