84135952 has 20 divisors (see below), whose sum is σ = 171593680. Its totient is φ = 39853728.

The previous prime is 84135949. The next prime is 84135973. The reversal of 84135952 is 25953148.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138078 + ... + 138685.

It is an arithmetic number, because the mean of its divisors is an integer number (8579684).

Almost surely, 2^84135952 is an apocalyptic number.

It is an amenable number.

84135952 is an abundant number, since it is smaller than the sum of its proper divisors (87457728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84135952 is a wasteful number, since it uses less digits than its factorization.

84135952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276790 (or 276784 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 84135952 is about 9172.5651810167. The cubic root of 84135952 is about 438.1880582184.

It can be divided in two parts, 8413 and 5952, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 84135952 in words is "eighty-four million, one hundred thirty-five thousand, nine hundred fifty-two".