85267153 has 2 divisors, whose sum is σ = 85267154. Its totient is φ = 85267152.

The previous prime is 85267097. The next prime is 85267157. The reversal of 85267153 is 35176258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73822464 + 11444689 = 8592^2 + 3383^2 .

It is a cyclic number.

It is not a de Polignac number, because 85267153 - 2¹⁷ = 85136081 is a prime.

It is equal to p_4958308 and since 85267153 and 4958308 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (85267157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42633576 + 42633577.

It is an arithmetic number, because the mean of its divisors is an integer number (42633577).

Almost surely, 2^85267153 is an apocalyptic number.

It is an amenable number.

85267153 is a deficient number, since it is larger than the sum of its proper divisors (1).

85267153 is an equidigital number, since it uses as much as digits as its factorization.

85267153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 37.

The square root of 85267153 is about 9234.0214966178. The cubic root of 85267153 is about 440.1431232057.

The spelling of 85267153 in words is "eighty-five million, two hundred sixty-seven thousand, one hundred fifty-three".