85419 has 6 divisors (see below), whose sum is σ = 123396. Its totient is φ = 56940.

The previous prime is 85411. The next prime is 85427. The reversal of 85419 is 91458.

It is an interprime number because it is at equal distance from previous prime (85411) and next prime (85427).

It is not a de Polignac number, because 85419 - 2³ = 85411 is a prime.

It is a super-2 number, since 2×85419² = 14592811122, which contains 22 as substring.

85419 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 85392 and 85401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85419.

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 5 ways as a sum of consecutive naturals, for example, 4737 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (20566).

2⁸⁵⁴¹⁹ is an apocalyptic number.

85419 is a deficient number, since it is larger than the sum of its proper divisors (37977).

85419 is a wasteful number, since it uses less digits than its factorization.

85419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9497 (or 9494 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 85419 is about 292.2652904469. The cubic root of 85419 is about 44.0404242820.

The spelling of 85419 in words is "eighty-five thousand, four hundred nineteen".