85038929 has 2 divisors, whose sum is σ = 85038930. Its totient is φ = 85038928.

The previous prime is 85038911. The next prime is 85038931. The reversal of 85038929 is 92983058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69222400 + 15816529 = 8320^2 + 3977^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85038929 is a prime.

Together with 85038931, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 85038929.

It is not a weakly prime, because it can be changed into another prime (85038329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42519464 + 42519465.

It is an arithmetic number, because the mean of its divisors is an integer number (42519465).

Almost surely, 2^85038929 is an apocalyptic number.

It is an amenable number.

85038929 is a deficient number, since it is larger than the sum of its proper divisors (1).

85038929 is an equidigital number, since it uses as much as digits as its factorization.

85038929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 85038929 is about 9221.6554370677. The cubic root of 85038929 is about 439.7500801800.

The spelling of 85038929 in words is "eighty-five million, thirty-eight thousand, nine hundred twenty-nine".