85580537 has 16 divisors (see below), whose sum is σ = 102186240. Its totient is φ = 70120512.

The previous prime is 85580527. The next prime is 85580549. The reversal of 85580537 is 73508558.

It is not a de Polignac number, because 85580537 - 2⁸ = 85580281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85580494 and 85580503.

It is not an unprimeable number, because it can be changed into a prime (85580527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18863 + ... + 22955.

It is an arithmetic number, because the mean of its divisors is an integer number (6386640).

Almost surely, 2^85580537 is an apocalyptic number.

It is an amenable number.

85580537 is a deficient number, since it is larger than the sum of its proper divisors (16605703).

85580537 is a wasteful number, since it uses less digits than its factorization.

85580537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232.

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 85580537 is about 9250.9749215961. The cubic root of 85580537 is about 440.6816860961.

The spelling of 85580537 in words is "eighty-five million, five hundred eighty thousand, five hundred thirty-seven".