84956319 has 24 divisors (see below), whose sum is σ = 146345472. Its totient is φ = 46434960.

The previous prime is 84956281. The next prime is 84956323. The reversal of 84956319 is 91365948.

It is a happy number.

84956319 is a `hidden beast` number, since 8 + 4 + 9 + 5 + 631 + 9 = 666.

It is not a de Polignac number, because 84956319 - 2⁸ = 84956063 is a prime.

It is a super-2 number, since 2×84956319² = 14435152276059522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84956359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27867 + ... + 30764.

It is an arithmetic number, because the mean of its divisors is an integer number (6097728).

Almost surely, 2^84956319 is an apocalyptic number.

84956319 is a deficient number, since it is larger than the sum of its proper divisors (61389153).

84956319 is a wasteful number, since it uses less digits than its factorization.

84956319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58667 (or 58664 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 84956319 is about 9217.1752180372. The cubic root of 84956319 is about 439.6076374803.

The spelling of 84956319 in words is "eighty-four million, nine hundred fifty-six thousand, three hundred nineteen".