85129337 has 2 divisors, whose sum is σ = 85129338. Its totient is φ = 85129336.

The previous prime is 85129333. The next prime is 85129339. The reversal of 85129337 is 73392158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75759616 + 9369721 = 8704^2 + 3061^2 .

It is a cyclic number.

It is not a de Polignac number, because 85129337 - 2² = 85129333 is a prime.

Together with 85129339, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85129337.

It is not a weakly prime, because it can be changed into another prime (85129333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42564668 + 42564669.

It is an arithmetic number, because the mean of its divisors is an integer number (42564669).

Almost surely, 2^85129337 is an apocalyptic number.

It is an amenable number.

85129337 is a deficient number, since it is larger than the sum of its proper divisors (1).

85129337 is an equidigital number, since it uses as much as digits as its factorization.

85129337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 38.

The square root of 85129337 is about 9226.5560747226. The cubic root of 85129337 is about 439.9058631256.

The spelling of 85129337 in words is "eighty-five million, one hundred twenty-nine thousand, three hundred thirty-seven".