84972519 has 12 divisors (see below), whose sum is σ = 126697792. Its totient is φ = 54820800.

The previous prime is 84972509. The next prime is 84972533. The reversal of 84972519 is 91527948.

It is not a de Polignac number, because 84972519 - 2⁸ = 84972263 is a prime.

It is a super-2 number, since 2×84972519² = 14440657970410722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84972509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152002 + ... + 152559.

Almost surely, 2^84972519 is an apocalyptic number.

84972519 is a deficient number, since it is larger than the sum of its proper divisors (41725273).

84972519 is a wasteful number, since it uses less digits than its factorization.

84972519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304598 (or 304595 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 84972519 is about 9218.0539703345. The cubic root of 84972519 is about 439.6355780785.

It can be divided in two parts, 84972 and 519, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 84972519 in words is "eighty-four million, nine hundred seventy-two thousand, five hundred nineteen".