84135465 has 48 divisors (see below), whose sum is σ = 155984400. Its totient is φ = 41803776.

The previous prime is 84135461. The next prime is 84135479. The reversal of 84135465 is 56453148.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 522729 + 83612736 = 723^2 + 9144^2 .

It is not a de Polignac number, because 84135465 - 2² = 84135461 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84135461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82881 + ... + 83889.

It is an arithmetic number, because the mean of its divisors is an integer number (3249675).

Almost surely, 2^84135465 is an apocalyptic number.

84135465 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84135465 is a deficient number, since it is larger than the sum of its proper divisors (71848935).

84135465 is a wasteful number, since it uses less digits than its factorization.

84135465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1143 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 84135465 is about 9172.5386344240. The cubic root of 84135465 is about 438.1872127693.

The spelling of 84135465 in words is "eighty-four million, one hundred thirty-five thousand, four hundred sixty-five".