85417973 has 2 divisors, whose sum is σ = 85417974. Its totient is φ = 85417972.

The previous prime is 85417967. The next prime is 85418009. The reversal of 85417973 is 37971458.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75030244 + 10387729 = 8662^2 + 3223^2 .

It is a cyclic number.

It is not a de Polignac number, because 85417973 - 2¹² = 85413877 is a prime.

It is a super-2 number, since 2×85417973² = 14592460222857458, which contains 22 as substring.

It is equal to p_4966595 and since 85417973 and 4966595 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85417903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42708986 + 42708987.

It is an arithmetic number, because the mean of its divisors is an integer number (42708987).

Almost surely, 2^85417973 is an apocalyptic number.

It is an amenable number.

85417973 is a deficient number, since it is larger than the sum of its proper divisors (1).

85417973 is an equidigital number, since it uses as much as digits as its factorization.

85417973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 211680, while the sum is 44.

The square root of 85417973 is about 9242.1844279369. The cubic root of 85417973 is about 440.4024778067.

The spelling of 85417973 in words is "eighty-five million, four hundred seventeen thousand, nine hundred seventy-three".