85377 has 8 divisors (see below), whose sum is σ = 115200. Its totient is φ = 56240.

The previous prime is 85369. The next prime is 85381. The reversal of 85377 is 77358.

Added to its reverse (77358) it gives a triangular number (162735 = T₅₇₀).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85377 - 2³ = 85369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2⁸⁵³⁷⁷ is an apocalyptic number.

It is an amenable number.

85377 is a deficient number, since it is larger than the sum of its proper divisors (29823).

85377 is a wasteful number, since it uses less digits than its factorization.

85377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343.

The product of its digits is 5880, while the sum is 30.

The square root of 85377 is about 292.1934290842. The cubic root of 85377 is about 44.0332049628.

Subtracting from 85377 its product of digits (5880), we obtain a palindrome (79497).

Adding to 85377 its reverse (77358), we get a triangular number (162735 = T₅₇₀).

The spelling of 85377 in words is "eighty-five thousand, three hundred seventy-seven".