85077 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 53856.

The previous prime is 85061. The next prime is 85081. The reversal of 85077 is 77058.

It is not a de Polignac number, because 85077 - 2⁴ = 85061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 85077.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85077.

It is not an unprimeable number, because it can be changed into a prime (85027) 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, 553 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁸⁵⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

85077 is a deficient number, since it is larger than the sum of its proper divisors (47403).

85077 is a wasteful number, since it uses less digits than its factorization.

85077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 85077 is about 291.6796187600. The cubic root of 85077 is about 43.9815694159.

The spelling of 85077 in words is "eighty-five thousand, seventy-seven".