85415 has 8 divisors (see below), whose sum is σ = 111888. Its totient is φ = 62080.

The previous prime is 85411. The next prime is 85427. The reversal of 85415 is 51458.

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

It is not a de Polignac number, because 85415 - 2² = 85411 is a prime.

It is a Duffinian number.

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 85415.

It is not an unprimeable number, because it can be changed into a prime (85411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (13986).

2⁸⁵⁴¹⁵ is an apocalyptic number.

85415 is a deficient number, since it is larger than the sum of its proper divisors (26473).

85415 is a wasteful number, since it uses less digits than its factorization.

85415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569.

The product of its digits is 800, while the sum is 23.

The square root of 85415 is about 292.2584472689. The cubic root of 85415 is about 44.0397368298.

The spelling of 85415 in words is "eighty-five thousand, four hundred fifteen".