85629937 has 2 divisors, whose sum is σ = 85629938. Its totient is φ = 85629936.

The previous prime is 85629923. The next prime is 85630001. The reversal of 85629937 is 73992658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49617936 + 36012001 = 7044^2 + 6001^2 .

It is a cyclic number.

It is not a de Polignac number, because 85629937 - 2⁷ = 85629809 is a prime.

It is a super-2 number, since 2×85629937² = 14664972221247938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85629737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42814968 + 42814969.

It is an arithmetic number, because the mean of its divisors is an integer number (42814969).

Almost surely, 2^85629937 is an apocalyptic number.

It is an amenable number.

85629937 is a deficient number, since it is larger than the sum of its proper divisors (1).

85629937 is an equidigital number, since it uses as much as digits as its factorization.

85629937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 49.

The square root of 85629937 is about 9253.6445252668. The cubic root of 85629937 is about 440.7664619445.

The spelling of 85629937 in words is "eighty-five million, six hundred twenty-nine thousand, nine hundred thirty-seven".