85972449 has 16 divisors (see below), whose sum is σ = 117722304. Its totient is φ = 55776000.

The previous prime is 85972441. The next prime is 85972463. The reversal of 85972449 is 94427958.

It is not a de Polignac number, because 85972449 - 2³ = 85972441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85972398 and 85972407.

It is not an unprimeable number, because it can be changed into a prime (85972441) 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, 73342 + ... + 74504.

It is an arithmetic number, because the mean of its divisors is an integer number (7357644).

Almost surely, 2^85972449 is an apocalyptic number.

It is an amenable number.

85972449 is a deficient number, since it is larger than the sum of its proper divisors (31749855).

85972449 is a wasteful number, since it uses less digits than its factorization.

85972449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808.

The product of its digits is 725760, while the sum is 48.

The square root of 85972449 is about 9272.1329261395. The cubic root of 85972449 is about 441.3533554537.

The spelling of 85972449 in words is "eighty-five million, nine hundred seventy-two thousand, four hundred forty-nine".