85390537 has 2 divisors, whose sum is σ = 85390538. Its totient is φ = 85390536.

The previous prime is 85390519. The next prime is 85390549. The reversal of 85390537 is 73509358.

It is a happy number.

It is the 3773-rd star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 18412681 = 8184^2 + 4291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85390537 is a prime.

It is a super-4 number, since 4×85390537⁴ (a number of 33 digits) contains 4444 as substring.

It is equal to p_4965088 and since 85390537 and 4965088 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85390537.

It is not a weakly prime, because it can be changed into another prime (85390567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42695268 + 42695269.

It is an arithmetic number, because the mean of its divisors is an integer number (42695269).

Almost surely, 2^85390537 is an apocalyptic number.

It is an amenable number.

85390537 is a deficient number, since it is larger than the sum of its proper divisors (1).

85390537 is an equidigital number, since it uses as much as digits as its factorization.

85390537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 85390537 is about 9240.7000275953. The cubic root of 85390537 is about 440.3553207668.

The spelling of 85390537 in words is "eighty-five million, three hundred ninety thousand, five hundred thirty-seven".